Find an antiderivative of .

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Find an antiderivative of

\displaystyle \int x\,\ln\bigl(x^{2}\bigr)\,dx

. (a)

x\ln\bigl(x^{2}\bigr)-x+C

(b)

\dfrac{x^{2}\ln\bigl(x^{2}\bigr)-x^{2}}{2}+C

(c)

\dfrac{x^{2}\ln\bigl(x^{2}\bigr)+x^{2}}{2}+C

(d)

x^{2}\ln\bigl(x^{2}\bigr)-x^{2}+C