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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Nice integral
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elastiboysai (2327)

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Heres a nice integral
simple but a tricky one too
log(1+2mcosx+m^2)
m>0
    
konichiwa2x (2342)

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CASE 1 :

 
 
where

 

Using the expansion ,

i.e ,

 

 

 

Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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konichiwa2x (2342)

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CASE 2: When
 
 
 
 
  

 

 

 
 
The need to discuss the cases when  and differently is because the expansion   is valid only for .
When hence it is necessary to split into different terms so such that it is possible to apply the series expansion.

Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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elastiboysai (2327)

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Edited
Nice solution
 
It wud be nice
if u notify thatu have edited
ur prev reply
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konichiwa2x (2342)

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deleted initial content.
 
edit: it wud be nice if you had waited till i completed my work for I clearly said I was making a change. You posted even after reading it. Then, I cant help it.

Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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