### Home > APCALC > Chapter 8 > Lesson 8.1.3 > Problem 8-32

8-32.

No calculator! Integrate.

Let

.Do not forget to rewrite the bounds in terms of

.

The derivative of an INDEFINITE integral, is the original function (FTC, pt.1) But the derivative of a DEFINITE integral is the original function times the derivative of the bounds.

Let

.

Now rewrite the answer in terms of.

Recall that

.

Use

-substitution.

And do not forget about the bounds!