Mathematics

Mathematics

Problem

Find ∫sin⁡5x dx\displaystyle \int \sin^{5}x\,dx. a) −cos⁡x+23cos⁡3x−15cos⁡5x+C-\cos x+\dfrac{2}{3}\cos^{3}x-\dfrac{1}{5}\cos^{5}x+C b) cos⁡x−23cos⁡3x+15cos⁡5x+C\cos x-\dfrac{2}{3}\cos^{3}x+\dfrac{1}{5}\cos^{5}x+C c) −cos⁡x+13cos⁡3x−15cos⁡5x+C-\cos x+\dfrac{1}{3}\cos^{3}x-\dfrac{1}{5}\cos^{5}x+C d) −sin⁡x+23sin⁡3x−15sin⁡5x+C-\sin x+\dfrac{2}{3}\sin^{3}x-\dfrac{1}{5}\sin^{5}x+C

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