A Level

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

Problem

Calculate ∫x3sin⁡x dx\displaystyle \int x^{3}\sin x\,dx. (a) −x3cos⁡x+3x2sin⁡x+6xcos⁡x−6sin⁡x+C-x^{3}\cos x+3x^{2}\sin x+6x\cos x-6\sin x+C (b) −x3cos⁡x+3x2sin⁡x−6xcos⁡x−6sin⁡x+C-x^{3}\cos x+3x^{2}\sin x-6x\cos x-6\sin x+C (c) x3cos⁡x−3x2sin⁡x−6xcos⁡x+6sin⁡x+Cx^{3}\cos x-3x^{2}\sin x-6x\cos x+6\sin x+C (d) −x3cos⁡x+3x2sin⁡x+6xcos⁡x+C-x^{3}\cos x+3x^{2}\sin x+6x\cos x+C

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