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Question
Integrate the functions:
`(sin x)/(1+ cos x)^2`
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Solution
Let `I = int (sin x)/(1 + cos x)^2` dx
Put 1 + cos x = t
⇒ - sin x dx = dt
∴ `I = - int dt/t^2 = t^(-2 + 1)/(-2 + 1) + C`
`= 1/t + C`
`= 1/(1 + cos x) + C`
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