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Math Help - Integral calculation

  1. #1
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    Integral calculation

    Hi! I have a problem solving this integral.Could someone help me or give me an advice?

    <br />
    \int_{0}^{2\pi} cos(\theta)exp(a \cos(\theta))d\theta<br />

    Thankyou in advanced!
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  2. #2
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    Quote Originally Posted by hokutose View Post
    Hi! I have a problem solving this integral.Could someone help me or give me an advice?

    <br />
    \int_{0}^{2\pi} cos(\theta)exp(a \cos(\theta))d\theta<br />

    Thankyou in advanced!
    Are you sure you copied down the integral correctly?

    Mathematica is telling me this can't be solved exactly...
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  3. #3
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    Hi! ,Thanks for replying!
    Yes, i'm sure it's like that. I also tried with Mathematica,and it seems that there is no elemental solution,but for instance, the integral

     <br />
\int exp(\cos(a\theta))d\theta<br />
    Can be expressed in terms of the modified bessel function of the first kind I0(x)
    so i was wondering if i could do something like that...(my code is plenty of integrals so if i can avoid to compute any of them numerically it would be great)
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