# Double integration of functions involving bessel functions and cosines/sines

1. May 30, 2010

### moonkhan

Dear All,
Its my first post on this the physics forum.

i have a question. Can we integrate double integrals involving bessel functions and sinusoids in maple. Also, the overlap of sine and cosine over the range of 0 to 2 * Pi must be exactly zero, but, in maple, it gives some value (of the order of -129). Is there any software, which can compute the exact double integral.
The function i am trying to integrate numerically (please correct me if i am doing rigth by solving numerically):

"((((besselj(const1,const2)./besselk(const1,const2)).*besselk(const1,const1*r/const3).*cos(const*(phi))).*conj((besselj(const2,(kpaa2/a).*(r)).*cos(const2*(phi))))).*r)"
with 0<=phi>=2*Pi, and 0<=r>=125e-6.

I tried with matlab's builtin functions, but the same problem of accuracy.