IIT JEE , AIEEE Forum - Mathematics , Integral Calculus

elastiboysai

Heres a nice integral

simple but a tricky one too

log(1+2mcosx+m^2)

m>0

konichiwa2x

CASE 1 :

where

Using the expansion ,

i.e ,

konichiwa2x

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.

elastiboysai

Edited

Nice solution

It wud be nice

if u notify thatu have edited

ur prev reply

konichiwa2x

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.

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