Evaluate: (i) `intsin^3xcos^5x\ dx` (ii) `int1/(sin^4xcos^2x)\ dx`

Explanation

(i)

`int sin ^{3} x cdot cos ^{5} x d x `

`=int sin ^{2} x cdot cos ^{5} x cdot sin x d x `

`=int(1-cos ^{2} x) cdot cos ^{5} x sin x d x `

`text { Let } cos x=t `

`Rightarrow-sin x d x=d t `

`Rightarrow sin x d x=-d t `

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