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Question Number 20450 by tammi last updated on 27/Aug/17

$$\int \sin {}^{4}x\cos {}^{3}xdx$$

Answered by mrW1 last updated on 27/Aug/17

$$=\int \sin {}^{4}x\cos {}^{2}xd\left(\sin x\right)$$$$=\int \sin {}^{4}x(1-\sin {}^{2}x)d\left(\sin x\right)$$$$=\frac{1}{5}{\sin }^5\mathrm{x}-\frac{1}{7}{\sin }^7\mathrm{x}+\mathrm{C}$$

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