A Level

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

Problem

Find

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

. (a)

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

(b)

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

(c)

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

(d)

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