What is the integral of \sqrt[5]{x}+2csc^2(x) ?

The integral of \sqrt[5]{x}+2csc^2(x) is 5/6 x^{6/5}-2cot(x)+C

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integral of \sqrt[5]{x}+2csc^2(x)

\frac{5}{6} x^{\frac{6}{5}} - 2 cot (x) + C

Solution steps

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

\int 2 csc^{2} (x) d x = - 2 cot (x)

= \frac{5}{6} x^{\frac{6}{5}} - 2 cot (x)

Add a constant to the solution

= \frac{5}{6} x^{\frac{6}{5}} - 2 cot (x) + C

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What is the integral of \sqrt[5]{x}+2csc^2(x) ?
The integral of \sqrt[5]{x}+2csc^2(x) is 5/6 x^{6/5}-2cot(x)+C