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Question

Integrate the following functions.
sinx1+cosxdx.


Solution

sinx1+cosxdx.
Let I=sinx1+cosxdx
Let 1+cosx=tsinx=dtdxdx=dtsinx
I=sinxt×dtsinx=1tdt=log|t|+C=log|1+cosx|+C=log11+cosx+C(loga=log1a)

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