Question

Find the Integration of the following:-

$\frac{ \cos(x) \times dx }{ { \sin(x) }^{3} \times ({1 + { \sin(x) }^{6} })^{ \frac{2}{3} } }$
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Answer 1

Answer:

$-\dfrac{\sqrt[3]{\csc^2\left(x\right)+1}\sqrt[3]{\csc^4\left(x\right)-\csc^2\left(x\right)+1}}{2}+C$

Explanation: