### Home > CALC > Chapter 8 > Lesson 8.1.2 > Problem 8-18

8-18.

No calculator! Evaluate the following integrals.

-substitution.

Before you integrate, factor the π out of the integrand. You may (or may not) choose to expand

.

Recall that

is a transformation of , and you know

the antiderivative of.

-substitution.

You could long divide first or... use

-Substitution.

Letthe denominator.If

then.

Therefore numerator

Also boundsand

Rewrite the integral and evaluate.

Recall that

Then look for a familiar antiderivative.