Evaluate the integral and express your answer entirely as a polynomial in multiplied…

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate the integral

\displaystyle I=\int x^{3}\,\ln x\,dx

and express your answer entirely as a polynomial in

x

multiplied by

\ln x

plus a polynomial in

x

, adding the constant of integration.