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Math Help - Integrate this please

  1. #1
    Member Altair's Avatar
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    Integrate this please

    I tried to integrate the following and got ...ummm...0=0

    Can someone plase integrate it step by step ?

    (cosw/(1+w^2)) from 0 to infinity
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by Altair View Post
    I tried to integrate the following and got ...ummm...0=0

    Can someone plase integrate it step by step ?

    (cosw/(1+w^2)) from 0 to infinity
    Uh...

    If you substitute w=\tan \theta, then dw=(1+w^2) d \theta

    And the integral is then :
    I=\int_0^{\pi/2} \cos(\tan \theta) ~d\theta

    It looks more friendly but I don't know how to solve it




    Otherwise, have you ever seen the residues theorem, in complex analysis ? The very first integral may be solved with the use of this theorem..
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