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xmen1

Guest

Logaritm problem Algebraric

I CANT SOLVE IT!!!@!@!

Daniel123

Member

Registered: 2007-05-23

Posts: 663

Re: Logaritm problem Algebraric

Mathematica gives something very ugly.

This may be of some help, although I don't see how the second line works...

http://au.answers.yahoo.com/question/index?qid=20080220024624AAoHR5q

Last edited by Daniel123 (2008-06-16 06:42:10)

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: Logaritm problem Algebraric

Here's another page working out that integral, that I think is clearer. (Thanks Jane!)

Both those pages deal with bounds of 0 and π/2 though, and I'm not sure how easy it would be to apply the methods to different bounds.

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Why did the vector cross the road?
It wanted to be normal.

cushydom

Member

Registered: 2008-04-23

Posts: 10

Re: Logaritm problem Algebraric

i get 2*(pi^2)log(2)
I made the substitution z=exp(ix). it then reduces to a complex integration using a semicircle with radius one as the contour. i then construced the the power series and used the coeficient of 1/z as the residue.
not sure if there are any other singular points in the contour apart from z=0