A Level

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

Problem

Find ∫sin⁡3x cos⁡5x dx\displaystyle\int \sin 3x\,\cos 5x\,dx. (a) cos⁡8x16+cos⁡2x4+C\dfrac{\cos 8x}{16}+\dfrac{\cos 2x}{4}+C (b) −cos⁡8x8+cos⁡2x4+C-\dfrac{\cos 8x}{8}+\dfrac{\cos 2x}{4}+C (c) −cos⁡8x16+cos⁡2x4+C-\dfrac{\cos 8x}{16}+\dfrac{\cos 2x}{4}+C (d) −cos⁡8x16+cos⁡2x2+C-\dfrac{\cos 8x}{16}+\dfrac{\cos 2x}{2}+C

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