A Level

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

Problem

Find

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

. (a)

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

(b)

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

(c)

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

(d)

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