A Level

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

Problem

Compute ∫(2x2+3x−1)sin⁡x dx\displaystyle \int (2x^{2}+3x-1)\sin x\,dx. (a) (4x+3)cos⁡x+(−2x2−3x+5)sin⁡x+C (4x+3)\cos x + (-2x^{2}-3x+5)\sin x + C (b) (4x+3)sin⁡x+(2x2+3x−5)cos⁡x+C (4x+3)\sin x + (2x^{2}+3x-5)\cos x + C (c) (4x+3)sin⁡x+(−2x2−3x+5)cos⁡x+C (4x+3)\sin x + (-2x^{2}-3x+5)\cos x + C (d) (4x+3)sin⁡x+(−2x2−3x+1)cos⁡x+C (4x+3)\sin x + (-2x^{2}-3x+1)\cos x + C

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