Definite Integration problem no 1 - Definite Integration - Diploma Maths - 2

TL;DR

This video solves a specific problem on definite integration, integrating DX upon the square root of X from 4 to 9, resulting in the answer of 2.

Transcript

click the bell icon to get latest videos from Ekeeda Hello friends in this video we are going to see some basic problems based on definite integration in the previous videos we have seen the introduction part what is definite integration and we are also seen the difference between the integration and the definite integration therefore without wasti... Read More

Key Insights

• ⛔ Definite integration involves finding the area under the curve between two given limits.
• ✊ The integral of DX upon the square root of X is simplified by using the formula for integrating X raised to a power.
• ⛔ In definite integration, the upper limit is subtracted from the lower limit to obtain the final answer.

Questions & Answers

Q: What is the integral of DX upon the square root of X from 4 to 9?

The integral of DX upon the square root of X from 4 to 9 is 2.

Q: How is the integral DX upon the square root of X simplified to X raised to minus 1/2 DX?

The integral DX upon the square root of X can be simplified to X raised to minus 1/2 DX by applying the formula for integrating X raised to a power.

Q: Why is the constant part not included in the final answer for definite integration?

In definite integration, the constant part is not included in the final answer because it cancels out when subtracting the upper limit from the lower limit.

Q: What are the upper and lower limits for the definite integration problem discussed in the video?

The upper limit for the definite integration problem is 9, and the lower limit is 4.

Summary & Key Takeaways

• The video discusses a problem on definite integration, involving the integral of DX upon the square root of X from 4 to 9.

• The procedure for solving the problem is explained, including taking the root X in the numerator and using the formula for integrating X raised to a power.

• The final answer is obtained by substituting the upper and lower limits, resulting in an answer of 2.