A Level

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

Problem

\int 32x^3 (\log x)^2\,dx

is equal to (a)

x^4\{8(\log x)^2 - 4(\log x) + 1\} + c

(b)

x^3\{(\log x)^2 + 2\log x\} + c

(c)

x^4\{8(\log x)^2 - 4(\log x)\} + c

(d)

8x^4(\log x)^2 + c