For the integrand appearing in the antiderivative

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

For the integrand

x^{2}\ln x

appearing in the antiderivative

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

, which factor—

x^{2}

\ln x

—should be differentiated to simplify the calculation, and why does this choice lead to a simpler integrand?