Sun March 18, 2012 By:

Please answer the question: find integration of (1+sin x)/[sin x(1+cos x)]

Expert Reply
Sun March 18, 2012
Breaking the given function, we get
 1/ sinx (1+cosx) + 1/1+cosx = F + G
The function G can easily be integrated by using the formula 1 + cosx = 2 cos2x/2
Now, let's see how to integrate the function F.
Put cosx = t so that -sinx dx = dt
Thus, we get
This integral can now be easily evaluated.
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