# Summaries of blackpenredpen Videos ðŸ“š

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Series, 11 2 #19, Geometric Series

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Eq of a line from two points EX1

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my calculus exam #1 (100% gets an In-N-Out gift card)

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Solution to that weird u-substitution, blackballwhitechalk

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So you think you can take the derivative, practice#2

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ultimate counting problem from Oxford MAT

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Q75, integral of 1/(1+x^2)^(5/2), trig sub

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Integration by Parts (introduction & 2 examples)

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Intermediate Algebra Q15 (with music) | Los Angeles Pierce College math assessment sample

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integral of sqrt(tan(x)) by brute force

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integral of x*sqrt(x-1) from 1 to 2, calculus 1 tutorial, basic u sub problem

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Feynman technique: integral of (x-1)/ln(x) from 0 to 1

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special integrating factor of the form x^n*y^m, sect2.5#13

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Solving a Quadratic Equation by Using the Quadratic Formula (patiently explained)

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Solving a 3 by 3 System of Equations (the most organized way)

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Why is 0^0 undefined?

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Intermediate Algebra Q9 (with music) | Los Angeles Pierce College math assessment sample

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cube root of i, feat. Fematika

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integration by parts, DI method, VERY EASY

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Multiply (5x^2-2x+3)(5x^2+2x+3)

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factoring a quadratic by completing the square

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Series of n(1+n^2)^p, sect11.3#31

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My failed attempts to the integral of sqrt(sin^2(x))

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Q5, ACT Compass Trigonometry (official sample test problems)

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Laplace transform of the first derivative, L{f't}

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Sect 3 11 #32, derivative of cosh(ln(x))

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Q308a, Arc length and Area of Sector of a circle

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Can 1^x=2?

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derivatives of tan(x) and cot(x), quotient rule, cofunction identities

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Stewart Calculus, Sect 7 7 #11c Simpson's Rule

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delta y vs. dy (differential)

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definition of the derivative with square root (and conjugate)

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Integral of tan^3x*sec^4x (read pinned comment)

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Integral Formula: Area

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(Q5.) Simplify rational exponent expression

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Biggest slope of a curve, calculus 1 optimization

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Q49, Integral of sec^5x

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How to change the order of a triple integral

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1-1/4+1/9-1/16+... (zeta function & eta function)

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i^i

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100 derivatives (ultimate study guide)

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evaluate a limit by factoring a sum of two cubes

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Reading YouTube Comments to My Calc 2 Students (last day of the class)

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Q11, how to reduce rational expression

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Algebra Readiness Q15 | Pierce College math assessment sample

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Laplace transform of t^2e^(4t)

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Laplace Transform of second derivative, laplace transform of f''(t)

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Elementary Algebra Q2 | Pierce College math assessment sample MDTP

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(Q15.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

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limit of a sequence of continuous functions, need not to be continuous

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Integral battle#20, hidden u-sub

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Angle sum identities for sine and cosine

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derivative of x^-2 with the definition of derivative

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Determine the form of a particular solution, second order linear differential equation, sect 4.4#31

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Sect 6.1 #11

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that matrix problem on Taiwan College Entrance Exam

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(Q14.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

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Q14, derivative of sinh^-1(x), two ways

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converting radians to degrees & degrees to radians, trig hw help

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10 tips for starting a math YouTube channel

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Bad Math but Right Answer

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how you can trick calculus students with this limit

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when calculus teachers don't think the derivative question is hard enough

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this is the AP calc BC FRQ test I took

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proving trig identity#1

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Proving x^2 is continuous but NOT uniformly continuous on (-inf, inf)

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Sum of 1/n^4 (Fourier Series & Parseval's Theorem)

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Differentiate x^(1/x), twice and fast!

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Stewart Calculus, Sect 9 4 #21

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first order linear differential equation, 2.3#19

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Factor completely Q13 to Q15, difference & sum of two cubes

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(Q9.) Simplify and Combine Expressions with Cube Roots

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Finding the vertex of a parabola from the standard form

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Math for fun, sin(z)=2

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Integral of fractional part of x from 0 to 4

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Ultimate Partial Fraction Decomposition Study Guide (how setup)

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how to solve the trig equation tan(Î¸)=-sqrt(3), Î¸ in [0, 360), precalculus tutorial

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Sect 10.2#3 equation of the tangent line to a parametric curve

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Algebra Readiness Q12 | Pierce College math assessment sample

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solving 4x^2y''+y=0 by using reduction of order (characteristic equation with repeated roots)

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Two Easy Integrals

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Elementary Algebra Q4 | Pierce College math assessment sample MDTP

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telescoping-looking series

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(Q5.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

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Factor a crazy trinomial

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how to solve this trigonometric equation from another one

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(Q13.) So, you think you can take the derivative?

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f(x)=ln(x+4), domain, range, graph, and its inverse

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Parametric vs. Cartesian (vid#5): Area

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series of (n^2+1)/(n^3+1), limit comparison vs direct comparison, calculus 2 tutorial

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integral of sqrt(x^2+1), with Euler Substitution, math for fun

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Classic Tricky AP Calculus AB Problem (given f', answer about f)

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Dear Tejas, challenge ACCOMPLISHED! (Speed run, Uncut)

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PROVE THIS, product-to-sum identity for sine, (bprp retro)

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Factoring x^2-64, x^3-64, and x^6-64

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implicit differentiation arctan(x^2*y)=x+x*y^2, calculus 1 tutorial

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Arc Length of ln(sec(x)) using integral

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solve differential equation with substitution

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solution to the logarithmic triangle

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How to do epsilon-delta proofs (ultimate calculus guide)

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Changing Order of a Double Summation

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Extreme Algebra Question (#patience)

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How to multiply two radical expressions

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Find the centroid, calculus 2

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An Afternoon With Prof. Pearsall (part1: it all started with long division?)

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Q54, Integral of sqrt(x^2+4x+5), trig sub with completing the square

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Classic math proofs of the law of sine and the law of cosine

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Solve a system of equations! Elimination method, (LCM method)

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Integral of sec(x) but without that trick!

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partial fraction for 1/(x(x^2+1))

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Sum of the first n natural numbers, Combinatoric, difference Equation

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Laplace Transform, second order linear differential equation (part1)

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Intermediate Algebra Q14 (with music) | Los Angeles Pierce College math assessment sample

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BIG brilliant integral

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Increasing/Decreasing, Concave Up/Down, Inflection Points

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Volume of the Solid of Revolution, the Disc Method!

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integral battle#2: a small sign makes a BIG difference!

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Why isn't abs(x) differentiable at x=0? (definition of derivative)

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A Brilliant Limit

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Area of Polar Curve r=1+2cos(theta)

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fun integral battle#1: thank you trig identities

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integral of e^u/(1-e^u)^2, u-substitution, calculus 1 tutorial

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vertex formula of a cubic curve

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You didn't expect this "quadratic" equation to have 6 solutions!

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Radius and interval of convergence of a power series, using ratio test, ex#3

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If cos(2Î¸)=1/3, then sin(Î¸)=?

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improper integral of x*e^(-x^2) from -inf to +inf

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Q18, use the distance formula

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Sect 4 9 #5 Intro to Antiderivative & Backward Power Rule

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sqrt(i+sqrt(i+sqrt(i+...))) = ?

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(Q13.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

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Power Series Solution for a differential equation

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Degrees to DMS, on TI84

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(Q12.) So, you think you can take the derivative?

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separable differential equation with an initial condition

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Integral of (sin^n(x)+cos^n(x))^(1/n) as n goes to infinity

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the COMPLEX relationship between tan^-1(x) and tanh^-1(x)

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Multiplication & Division in Base 2

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Exact Differential Equation, (2.4#11)

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Casio FX-991 EX classwiz calculator tutorial (perfect for algebra, FE exam, EIT exam)

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proving ALL logarithm properties using calculus

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Series of n/2^n

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(Q6.) Multiply expressions with rational exponents

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Power rule for derivative, ex3

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what is the infinite tetration of i

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integral of sin(x)*cos^3(x) vs integral of sin^2(x)*cos^3(x), calculus 2 tutorial

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Q31 MET115 Solving the System

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I found a real analysis question on an old SAT subject test

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sin(pi/12), using half angle formula

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Check for Linear Dependence (of 2 functions)

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Calculus, 11 9 #9 (1st way), Power Series Representation

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(Q9.) So, you think you can take the derivative?

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Math for fun#3, highest & lowest points on a tilted ellipse?

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Algebra Readiness Q13 | Pierce College math assessment sample

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Q4, integral of ln(x) from 2 to 6 with n=4 Simpson's Rule

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they donâ€™t teach these kinds of expoential equations in algebra

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Understand u-substitution, the idea!

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4th derivative of 1/2*x*cos(x)+3

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What does a â‰¡ b (mod n) mean? Basic Modular Arithmetic, Congruence

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i-th root of -1

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graph of y=tan(x)

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Do We REALLY Have More Integers?

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Q6, When can Mn, Tn and Sn give exact answer?

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Understand u substitution for integration (3 slightly trickier examples), calculus 1 tutorial

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(Q21.) Solve Square Root Equation

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solving a trigonometric equation sin(2x)=cos(x) with the double angle identity, precalculus tutorial

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Geometry Series

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Trigonometry: given sin(x)+cos(x)=1/5, solve for tan(x)

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Auxiliary equations with repeated roots

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harmonic addition theorem

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Q8, OH MAN, THAT - 1

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How to graph a side-way parabola

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The Legendary n^2+n+41 (why do we need math proofs?)

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Q10, the one on the top matters!

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A Limit That Is Actually A Derivative

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Nth term formula for the Fibonacci Sequence, (all steps included), difference equation

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Surface Area of Solid of Revolution (about x-axis, formula explained)

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That derivative on the Hungary math book cover (Dear PÃ¡szthy)

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Q17 use pythagorean theorem

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Q1, u-sub & u-sub with solving for x

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First Order Linear Differential Equation & Integrating Factor (introduction & example)

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please let your students use the DI method for integration by parts

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Solve (3x-2)(x+4)=24

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Understand algebra mixture word problems (with alcohol)

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(Q2.) Domain for square root function

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derivative of sec(x) and csc(x), quotient rule, power + chain rule

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math with story, infinite geometric series with Oreo, 1/2+1/4+1/8+...

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floor(0.999...)=?

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Write an algebraic expression for cos(sin^-1 x), cosine of inverse sine x

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Solving system of equations by graphing (consistent vs. inconsistent)

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Gabriel's Horn paradox (finite volume but infinite surface area)

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Integrate x*cos(x^3) as a power series

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all solutions to x^3=1

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epsilon-delta definition ultimate introduction

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Series of 2^(1/n)-1 with limit comparison test, calculus 2 tutorial

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Q2, integral of cot(x) vs. Integral of csc(x)cot(x)

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(Q1.) Graph of negative sqrt(x)

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Series are NOT scary! (Part 1: test for divergence, telescoping, geometric, p-series)

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integral battle#13, the old, the new!

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Algebra Readiness Q10 | Pierce College math assessment sample

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Euclid's proof that there are infinitely many primes! Classic math proof!

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the fact, again (with a definition of e)

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a double integral, 3 ways

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Calculating Work, pumping water out of a tank, calculus 2 tutorial, application of integration

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(Q25.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

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you don't want to see this on your calculus test (calculus 1 limit)

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Integral of the Error Function

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Don't just solve the cubic, PreRMO 2012

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(Q23.) So, you think you can take the derivative?

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an integral of an integral

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integration by u substitution *hard*, calculus 1 tutorial

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(Q24.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

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integral of 1/((a-x)(b-x))

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Factor 27x^3+1

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sin(pi/12), using difference of angles formula

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solving the last question of a math competition

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Q30, Simplify and Combine Radical Expressions

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derivative of x^y=y^x, implicit differentiation , calculus 1 tutorial, AP calculus

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a Putnam-exam-level system of equations

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A System of Equations with no solution

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Parseval's Theorem (Fourier series engineering mathematics)

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I couldn't do this integral when I was 3...

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Evaluate all trig functions from a given point on the terminal side ex1

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Solving logarithmic equations (part1)

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d/d(x^2)

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A Strong Induction Proof

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Precalculus challenge: can we just cancel out the sine?

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the afterward of integral of 1/(x^3+x), feat. a mysterious guest speaker

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Sect 6 1 #4

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Convert polar coordinates to rectangular coordinates

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this is a "power series" equation!

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Math for fun#1, design your limit

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Superfactorial

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p

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Separable differential equation, ex2

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Coming up with your own integral formula via non rigorous Leibniz's Rule

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pi-th derivative of x^pi

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Brilliant 1+2+3+...+n

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separable differential equations, 2.2#10

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integral of sqrt(x^2+2x), trig substitution, calculus 2 tutorial.

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solve differential with laplace transform, sect 7.5#3

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Solving a System of Equations by Substitution

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How I Make My Calculus Exams Harder!

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Integral of x*sec^2(2x), calculus 2 integration by parts

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A derangement problem

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Does the sequence n*sin(1/n) converge? Calculus 2 tutorial

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Heron's Formula Proof (the area of a triangle when you know all three sides)

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Elementary Algebra Q15 | Pierce College math assessment sample MDTP

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Great calc 1 final exam problems!!!

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limit of (x-ln(1+x))/x^2 with power series

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expanding (x+y)^2 (from no algebra to abstract algebra)

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Convert a polar equation to a cartesian equation: circle!

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Calculus, 11 9 #9 2nd way, Power Series Representation

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Intermediate Algebra Q2 (with music) | Los Angeles Pierce College math assessment sample

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inverse laplace transform, example#4, with partial fraction

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Variation of Parameters (introduction & idea)

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Limit of (1+sin(4x))^(cot(x)) as x goes to 0+, L'Hospital's Rule

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Derivative and integral of inverse secant

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integral of sec(x), 4 results!

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Why We Use Radians In Calculus?

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a RARE mistake from Euler (AIME 1989)

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how to easily write the epsilon-delta proofs for limits

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Series (1+1/n)^n, test for divergence

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(Q9.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

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Integral of x*cos(5x) with DI method

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(Q21.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

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11.10 (Part 2) Power Series for e^x centered at 2

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(Q17) Sample #1, Math 141/146 common final, Solve system of equations by substitution

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Math for fun#2, i want a to get e

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(Q13) Sample #1, Math 141/146 common final, Glendale community college

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solving x^4+1=0

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Fundamental theorem of calculus (part 1) example#2

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my all-in-one calculus question (uncut)

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a spectacular solution to the Basel problem (sum of 1/n^2 via a complex integral)

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How many factors does 100,000 have?

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How to graph y=x^x by using calculus

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integral of 2^ln(x)

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7 factorials you probably didn't know

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believe in the math, not wolframalpha

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Q21 MET115 music

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integral of sqrt(x+sqrt(x+sqrt(x+...))), infinite nested square root

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integral of ln(x) from 0 to 1

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Solving 3^x=200, x^3=200, cube root of x = 5, and log base 3 of x = 5

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my favorite "which set has more elements" set theory problems

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differentiable once but not twice? (ft. Oreo)

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Almost-exact differential equation with integrating factor

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Don't mess with conditional convergence

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Laplace transform of sqrt(t), without using the gamma function

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Laplace transform of 1/sqrt(t), *SPEED RUN*

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Which functions are of exponential orders? part2

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Fun Series From 2019 Pui Ching Math Competition

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an unfair calculus 1 homework question

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(Q22) Sample #1, Math 141/146 common final, long division with polynomials

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taking a derivative that WolframAlpha can't handle

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tan(pi/12), using difference of angles formula

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Equation of the tangent line on a parametric curve

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Which is the worst math debate: 0^0, sqrt(1), 0.999...=1, or 12/3(4)?

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The last question on an AP calculus BC test

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Casio fx-115ES PLUS bonus features (n-th root, complex number, log with any base)

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Exact Differential Equation, 2.4#13

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L'Hopital's Rule for the 0/0 Indeterminate Form (proof)

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Comparison test for improper integrals example 2, calculus 2 tutorial

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Graphing the solution region of a system of inequalities

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solving equations but they get increasingly awesome

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Is the sum of two periodic functions still periodic?

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An Afternoon With Professor Po Shen Loh

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SF marathon 2017 (afterward)

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Inverse Laplace Transform, Sect 7.4#35

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Q47 MET115 Rule of Exponents

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4 curves to save your math grades

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My favorite VIRAL PEMADS question!

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Test for divergence for the series of (2^k*k!)/(k+2)!, calculus 2 tutorial

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Three Pretenders, by Mr. HIll!

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derivative of inverse secant

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Laplace Transform of t^2

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HOW TO CREATE YOUR OWN EXACT EQUATIONS?

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calculating work by using integral, pumping water out of a tank, calculus 2 tutorial

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(Q14.) So, you think you can take the derivative?

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(Q17.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

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Pewdiepie VS. T-series, using y=mx+b

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epsilon-N definition for a limit at infinity (introduction & proof writing tips)

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Calculus, 11 9 #25, Power Series Representation

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Check for Linear Independence (3 functions, using definition)

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Same Derivatives Implies Same Functions?

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Sqrt(2) is irrational! (Classic Proof)

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Partial fraction with cover-up

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Q16, simplifying complex fractions

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Graphing f(x)=x^2-x-ln(x)

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integral of floor of x from 0 to 4 (greatest integer function)

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Symmetric Matrix

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the 7 oz gold bar problem

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limit of x*tan(1/x) as x goes to infinity, L'Hospital's Rule

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Area Enclosed by a Polar Curve, Calculus 2

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The Formula for Taylor Series

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Graph of log base 2 of x, algebra 2 & precalculus tutorial

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Comparison test for improper integrals ex 3, integral of 1/ln(x) from e to inf, calculus 2 tutorial

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Rational Functions: find the domain

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how to convert fractions to binary point

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Integral of 1/(x^2+1) from -inf to inf, Contour Integral

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Q309, Deriving the Centroid Formula (3 parts)

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A Cambridge Integral Experience

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Q47, Integral of csc(x)sec(x)

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Series of (1-1/n)^(n^2), root test

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(Q10.) So, you think you can take the derivative?

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1^inf indeterminate form (Quiz Solution)

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Math for fun, sin(sin(z))=1

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Q14 Rationalize the denominator with square root

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integral of sqrt(x)*e^(-x) from 0 to inf

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(Q20) Sample #1, Math 141/146 common final, Glendale community college

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Top 5 reasons of getting the Casio fx-115ES PLUS (perfect for EIT, FE exams, back to shool)

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Algebra Q2, ACT Compass Official Sample Test Questions

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Hard Integral SOLVED!

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Graphing y=-3^x

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convert parametric to cartesian (an exam problem), x=sec(t), y=csc(t)

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System of equations with 3 variables.

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Error Bound Formulas for midpoint and trapezoid rules, sect7.7#19b

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Understand Comparison Theorem For Improper Integral Ex3

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Limit Quiz, Q1 & Q2

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Points of inflection from the graphs of f, f' or f''

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A triple square root problem (Berkeley mini math tournament)

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Integral of 1/(x^3+1) from 100 integrals

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Separable Differential Equation! 2.2#21

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Complex definitions of sine and cosine

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4 popular ways to factor trinomials ax^2+bx+c (including slide & divide)

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Q6, integral of 1/sqrt(1-x^2) vs. integral of x/sqrt(1-x^2)

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Rule of Exponent Ex#5

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Integral product rule?

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integral of ln(sqrt(x+1)+sqrt(x)) by trig sub

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Yes, it's an 8. (what's next?)

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the most DISLIKED math notation

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Q15 MET115 MCQ Strategy

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Optimization, Line cuts off the least area from the first quadrant

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Q7, integral of sin(x)*sec^3(x) vs. integral of tan(x)*sec^3(x)

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Q26, polynomial division (long division)

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Calculating Work, pumping water out of a circular swimming pool

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Evaluate all trig functions from a given point on the terminal side ex4

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sin(10Â°)sin(30Â°)sin(50Â°)sin(70Â°) = ? No calculator!

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MET#49, Solving a Rational Equation

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Regular math vs competition math

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Not -1/12

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Q10, exponential decay equation (with decay rate)

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A Putnam Exam Integral from 1980

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fun integral battle#4: rethink factoring...

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Limit comparison test vs direct comparison test, calculus 2 tuturial

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Calculus Teacher vs. Power Rule Student

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Differential equation in the form of G(ax+by), intro and example

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limit of tan^-1(1/(x-4)) as x goes to 4, calculus 1 tutorial

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Integral of sec^3x, calculus 2 tutorial

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inverse laplace transform, example 3

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