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int(int(exp(a*cos(theta)*sin(phi))*sin(phi), phi = 0 .. Pi), theta = 0 .. 2*Pi) (1)

with a a constant.

Using the second last definite integral on

http://en.wikipedia.org/wiki/List_of_integrals_of_exponential_functions

the integral (1) reduces to

2*Pi*(int(sin(phi)*BesselI(0, a*sin(phi)), phi = 0 .. Pi)) (2)

Can anyone solve (1) or (2)?

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# Integrals with bessel functions

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