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

Asked by prernamehta | 18th Mar, 2012, 09:14: PM

Expert Answer:

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.
 

Answered by  | 18th Mar, 2012, 10:25: PM

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