A Level

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

Problem

Evaluate

\displaystyle \int \frac{x^{2}}{\sqrt{\,1 - x^{3}\,}}\,dx

. (a)

-\dfrac{1}{3}\sqrt{1 - x^{3}} + C

(b)

\dfrac{2}{3}\sqrt{1 - x^{3}} + C

(c)

-\dfrac{2}{3}\sqrt{1 - x^{3}} + C

(d)

-\dfrac{2}{3}(1 - x^{3})^{3/2} + C