Integral of the Error Function  Summary and Q&A
TL;DR
The video discusses the integration of the error function, providing stepbystep instructions and formulas for calculating the integral.
Questions & Answers
Q: What is the formula for the error function?
The error function, ER f of X, is defined as 2 over square root of pi times the integral from 0 to X of e to the negative T squared DT.
Q: How can the integral of the error function be obtained?
The integral of the error function can be obtained by differentiating the function, resulting in x times ER f of X.
Q: What is the second integral in the solution?
The second integral, known as the minor, is still an integral with the equation 2 over the square root of pi times e to the negative x squared DX.
Q: How is the final result derived?
By using the integration by parts method, the initial integral is modified, resulting in two parts: x times ER f of X and the minor integral.
Summary & Key Takeaways

The video explains the formula for the error function and its integral.

The integration of the error function is demonstrated using the integration by parts method.

The final result is derived and explained, showing the relationship between the error function and its integral.