A Level

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

Problem

Evaluate

\displaystyle \int \left(2\sqrt{x} - \dfrac{5}{x^{2}} + 8\cos 3x\right)\,dx

. (a)

\dfrac{4}{3}x^{3/2} - \dfrac{5}{x} + \dfrac{8}{3}\sin 3x + C

(b)

\dfrac{4}{3}x^{3/2} + \dfrac{5}{x^{2}} + \dfrac{8}{3}\sin 3x + C

(c)

\dfrac{4}{3}x^{3/2} + \dfrac{5}{x} + \dfrac{8}{3}\sin 3x + C

(d)

\dfrac{4}{3}x^{3/2} + \dfrac{5}{x} + 8\sin 3x + C