### Home > CALC > Chapter 9 > Lesson 9.2.1 > Problem 9-56

9-56.

Use integration by parts.

Let *f* = ln(*x*) and *dg* = *x*^{3}*dx*.

Let *f* = 2*x* − 1 and *dg* = *e ^{x}dx*.

Use long division to rewrite the integrand.

Use partial fraction decomposition to rewrite the integrand in the form: