Which of the following is an antiderivative of ?

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

Problem

Which of the following is an antiderivative of

f(x)=\dfrac{3x^{2}}{(x^{3}+2)^{2}}

? (a)

\ln|x^{3}+2|+C

(b)

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

(c)

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

(d)

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