Calculus Integration

Question

Solve the first integral step by step. I have included the given result and the integral which I beleived was used to solve the integral.

Answer 1

The Function is

Re write the function as follows

Let us consider .

Apply Derivative on both sides

This is in the form of

Then

The above expression can be written as

      (since )

Substitute

     (since |-x| = |x|)

Therefore,