Q 0. - Calculus

Question

Problem Zero: Read the section and make your own summary of the material. 

Step-by-Step Solution

Answer

The required summary of the section is as follows:-

Step 1. Given Information

We have to write the summary of the section 5.1. Integration by Substitution.

Step 2. Summary of the section

The section 5.1. Integration by Substitution is the first section of the chapter 5. Techniques of integration.

Substitution is the one of the most popular technique of integration.

The summary of this section is as follows:-

We know that the integration is also known as anti derivative or reverse derivative.

In this section we firstly studied about how to undo the chain rule. That is reverse chain rule.

Here we have the following formula of integration to undo the chain rule.

If  and  are functions such that is integrable, then :-