U = 6x4 − 3x
Before you integrate, factor the π out of the integrand. You may (or may not) choose to expand (x + 1)².
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 9x² = (3x)²
Then look for a familiar antiderivative.