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Evaluateintsin^3sqrt(x)dx...

Evaluate`intsin^3sqrt(x)dx`

Text Solution

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Let `I=int sin ^{3} sqrt{x} d x`
` Sqrt x =t `
` x =t^{2} `
` d x =2 t d t `
` I =2 int t sin ^{3} t d t `
` =2 int t(frac{3 sin t-sin 3 t}{4}) d t `
` =frac{1}{2} int t(3 sin t-sin 3 t) d t`
...
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