A Level

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

Problem

Find

\displaystyle \int \sin^{5}x\,dx

. (a)

-\cos x+\dfrac{2}{3}\cos^{3}x-\dfrac{1}{5}\cos^{5}x+C

(b)

\cos x-\dfrac{2}{3}\cos^{3}x+\dfrac{1}{5}\cos^{5}x+C

(c)

-\cos x+\dfrac{1}{3}\cos^{3}x-\dfrac{1}{5}\cos^{5}x+C

(d)

-\sin x+\dfrac{2}{3}\sin^{3}x-\dfrac{1}{5}\sin^{5}x+C