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$\int \cot^{3} x \cos e c^{- 8} x d x$

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detailed solution

Correct option is A

cosec⁡x=t⇒(cosec⁡xcot⁡x)dx=−dt∫t2−1(−dt)t9=−∫1t7dt+∫1t9dt=16t6−18t8+C

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∫cot3xcosec−8x dx

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$\int \cot^{3} x \cos e c^{- 8} x d x$