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Problem Evaluate the indefinite integral ∫ x 2 sin ( 3 x ) d x \displaystyle \int x^{2}\sin(3x)\,dx ∫ x 2 sin ( 3 x ) d x − x 2 3 cos 3 x + 2 x 9 sin 3 x + C -\dfrac{x^{2}}{3}\cos 3x+\dfrac{2x}{9}\sin 3x+C − 3 x 2 cos 3 x + 9 2 x sin 3 x + C − x 2 3 cos 3 x + 2 x 9 sin 3 x + 2 27 cos 3 x + C -\dfrac{x^{2}}{3}\cos 3x+\dfrac{2x}{9}\sin 3x+\dfrac{2}{27}\cos 3x+C − 3 x 2 cos 3 x + 9 2 x sin 3 x + 27 2 cos 3 x + C − x 2 3 cos 3 x + 2 x 9 sin 3 x − 2 27 cos 3 x + C -\dfrac{x^{2}}{3}\cos 3x+\dfrac{2x}{9}\sin 3x-\dfrac{2}{27}\cos 3x+C − 3 x 2 cos 3 x + 9 2 x sin 3 x − 27 2 cos 3 x + C − x 2 3 sin 3 x + 2 x 9 cos 3 x + 2 27 sin 3 x + C -\dfrac{x^{2}}{3}\sin 3x+\dfrac{2x}{9}\cos 3x+\dfrac{2}{27}\sin 3x+C − 3 x 2 sin 3 x + 9 2 x cos 3 x + 27 2 sin 3 x + C Browse the problem library