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Capability of Mathematica


Hello,

Just wondering how well can Mathematica solve this equation I have before I
pay the price.
The equation goes as follow:
Integrate(phi:0->2pi){Integrate(theta:0->pi){Term1+Term2+.....+Term31
d_theta}d_phi}

There are a total of 31 terms as illustrated above in 2 integrals over a
sphere like object.
Each of the term is like the following one:

Term 3 = a*b with,
a =
exp(j*beta*(0.8*lambda*cos(2)*sin(135)+1.6*lambda*cos(2)*sin(135)+0.8*lambda
*cos(2)))
b =
exp(-j*beta*(0.8*labmda*cos(phi)*sin(theta)+1.6*lambda*sin(phi)*sin(theta)+0
..8*lambda*cos(theta)))

So it's a really long doble integral of 31 terms, with a multiplication of 2
exponentials per term.  I can enter this in symbolic form, can't I?  How
fast and accurate will the solution be?  The answer will be numerical as
it's definite closed integral with specific limits.

Thanks
Titus




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