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

8-18.

*U*-substitution.

*U* = 6*x*^{4} − 3*x*

Before you integrate, factor the π out of the integrand. You may (or may not) choose to expand (*x* + 1)².

*U*-substitution.

You could long divide first or... use *U*-Substitution.

Let *U* = the denominator.

If *U* = *x* + 2 then *x* = *U* − 2.

Also bounds *U*(0) = 2 and *U*(− 1) = 1

Rewrite the integral and evaluate.

Recall that 9*x*² = (3*x*)²

Then look for a familiar antiderivative.