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

$\displaystyle

$$\displaystyle \int_{0}^{2\pi} cos(\theta)exp(a \cos(\theta))d\theta

$

Thankyou in advanced!

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- Apr 16th 2009, 04:59 AMhokutoseIntegral calculation
Hi! I have a problem solving this integral.Could someone help me or give me an advice?

$\displaystyle

$$\displaystyle \int_{0}^{2\pi} cos(\theta)exp(a \cos(\theta))d\theta

$

Thankyou in advanced!

- Apr 16th 2009, 08:45 AMProve It
- Apr 17th 2009, 12:22 AMhokutose
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

$\displaystyle

\int exp(\cos(a\theta))d\theta

$

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)