What is the integral of \sqrt[17]{cot(x)}csc^2(x) ?

The integral of \sqrt[17]{cot(x)}csc^2(x) is -cot(x)\sqrt[17]{cot(x)}+1/18 cot^{18/17}(x)+C

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integral of \sqrt[17]{cot(x)}csc^2(x)

Solution steps

Apply Integration By Parts

\int \frac{1}{17} csc^{2} (x) cot^{\frac{1}{17}} (x) d x = - \frac{1}{18} cot^{\frac{18}{17}} (x)

Simplify

Add a constant to the solution

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What is the integral of \sqrt[17]{cot(x)}csc^2(x) ?
The integral of \sqrt[17]{cot(x)}csc^2(x) is -cot(x)\sqrt[17]{cot(x)}+1/18 cot^{18/17}(x)+C