Chapter 9, Problem 22RE

To determine

Whether integration by parts or substitution should be used to compute the

indefinite integral, ${\displaystyle \int x^2\sin \left(x^3+1\right)dx}$. If substitution, indicate the substitution to be made. If by

parts, indicate the functions $f\left(x\right)$ and $g\left(x\right)$ to be used.