?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Moderate

Integration by Parts with Natural Log

APCALC-4EZJBU

Evaluate the indefinite integral, $\int x^{2}ln(x)dx$.

A

$\cfrac{1}{3}x^{2}+C$

B

$\cfrac{1}{9}x^{3}\left ( 3ln(x)-1 \right )+C$

C

$x-2+C$

D

$x\left ( 2ln(x)+1 \right )+C$