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Math Help - Integral

  1. #1
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    Integral

    Prove that  \int_0^{\pi/4} d \phi e^{i \phi} e^{-R^2 \exp{(i 2 \phi)}} = 0
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  2. #2
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    Re: Integral

    Hey strammer.

    Hint: Try using the substitution u = e^(i*theta).
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  3. #3
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    Re: Integral

    Quote Originally Posted by strammer View Post
    Prove that  \int_0^{\pi/4} d \phi e^{i \phi} e^{-R^2 \exp{(i 2 \phi)}} = 0
    It is not possible to prove it because it is not true :
    Another integral
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  4. #4
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    Re: Integral

    Pardon me. It is only true as R tends to infinity.
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  5. #5
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    Re: Integral

    Obvious !
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