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Question
Integrate the function:
`cos^3 xe^(log sinx)`
Solution
Let `I = cos^3 x e^(log sinx) dx`
`= int cos^3 x sin x` dx
Substituting cos x = t,
⇒ - sin x dx = dt
⇒ sin x dx = - dt
Hence, `I = - int t^3 dt`
`= - t^4/4 + C`
`= - 1/4 cos^4 x + C`
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