AP

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Find

\displaystyle \int x^{2}\,\ln x\,dx

. (a)

\dfrac{x^{3}}{2}\,\ln x-\dfrac{x^{3}}{6}+C

(b)

\dfrac{x^{3}}{3}\,\ln x+\dfrac{x^{3}}{9}+C

(c)

\dfrac{x^{3}}{3}\,\ln x-\dfrac{x^{3}}{9}+C

(d)

\dfrac{x^{3}}{3}\,\ln x+C