find-this-1-sin-2-x-cot-4-x-1-7-dx-

Question Number 81133 by 1406 last updated on 09/Feb/20

f i n d t h i s

\int \frac{1}{{s i n}^{2} x \sqrt[7]{{c o t}^{4} x}} d x

Commented by jagoll last updated on 10/Feb/20

\int \frac{{c s c}^{2} x d x}{\sqrt[7]{\cot^{4} x}} = - \int \frac{d (\cot x)}{\cot^{\frac{4}{7}} x} =

- \int u^{- \frac{4}{7}} d u = - \frac{7}{3} \sqrt[7]{\cot^{3} x} + c

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