A Level

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

Problem

Calculate

\displaystyle \int x^{2}\sin 3x\,dx

. (a)

-\dfrac{x^{2}}{3}\sin 3x + \dfrac{2x}{9}\cos 3x + \dfrac{2}{27}\sin 3x + C

(b)

-\dfrac{x^{2}}{3}\cos 3x + \dfrac{2x}{9}\sin 3x - \dfrac{2}{27}\cos 3x + C

(c)

-\dfrac{x^{2}}{3}\cos 3x + \dfrac{2x}{9}\sin 3x + \dfrac{2}{27}\cos 3x + C

(d)

-\dfrac{x^{2}}{3}\cos 3x + \dfrac{2x}{9}\sin 3x + \dfrac{2}{9}\cos 3x + C