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Algebra

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 Joined: 25 Jul 2009 Post: 7
25 Nov 2009 20:25:31 IST
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solve Integration log(1+tan x)dx
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Algebra

solve Integration log(1+tan x)dx

New kid on the Block

Joined: 15 Nov 2009
Posts: 10
25 Nov 2009 22:56:07 IST
0 people liked this

apply integration by parts.the 1st function should be taken as log(1+tanx) and the second function to be dx.

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Joined: 23 Oct 2009
Posts: 580
27 Nov 2009 10:35:52 IST
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I think You meant t ask difinite integral

of " log ( 1+tanx) "

from x= 0 to x= pi/4.

If it is so then

put integrap property

I = log ( 1+tan(pi/4-x))

I = log2 - log(1+tanx)

I =(log2)/2

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