Evaluate: (i) `intsin4xcos3x\ dx` (ii) `intsin3xsin2x\ dx`

Explanation

(i)


`text { Let } I=int sin ^{4} x cdot cos ^{3} x d x `

`=int sin ^{4} x cdot cos ^{2} x cdot cos x d x `

`=int sin ^{4} x(1-sin ^{2} x) cos x d x`


Put `sin x=t`

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