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Math Help - Another "messy" integral

  1. #1
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    Medellin
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    Another "messy" integral

    \int_0^\pi \! log(1-2tcos(x)+t^2) \, \mathrm{d} x
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  2. #2
    MHF Contributor Amer's Avatar
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    Jordan
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    Re: Another "messy" integral

    you can integrate by parts dv = dx , and \log (1-2t\cos x + t^2 ) = u

    after that you can use the substitution  u = \tan \frac{x}{2} to the solve the resulting integral
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