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Question Number 136971 by Eric002 last updated on 28/Mar/21

$$\int {csc}^4\left(x\right){cot}^2\left(x\right)dx$$

Answered by Ñï= last updated on 28/Mar/21

$$\int csc{}^{4}x\cot {}^{2}xdx=-\int (1+\cot {}^{2}x)\cot {}^{2}xd\left(\cot x\right)$$$$=-\frac{1}{3}{\cot }^{3}x-\frac{1}{5}\cot {}^{5}x+C$$

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