Evaluate the indefinite integral .

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Evaluate the indefinite integral ∫x2sin⁡(3x) dx\displaystyle \int x^{2}\sin(3x)\,dx. (a) −x23cos⁡3x+2x9sin⁡3x+C-\dfrac{x^{2}}{3}\cos 3x+\dfrac{2x}{9}\sin 3x+C (b) −x23cos⁡3x+2x9sin⁡3x+227cos⁡3x+C-\dfrac{x^{2}}{3}\cos 3x+\dfrac{2x}{9}\sin 3x+\dfrac{2}{27}\cos 3x+C (c) −x23cos⁡3x+2x9sin⁡3x−227cos⁡3x+C-\dfrac{x^{2}}{3}\cos 3x+\dfrac{2x}{9}\sin 3x-\dfrac{2}{27}\cos 3x+C (d) −x23sin⁡3x+2x9cos⁡3x+227sin⁡3x+C-\dfrac{x^{2}}{3}\sin 3x+\dfrac{2x}{9}\cos 3x+\dfrac{2}{27}\sin 3x+C

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