Integrate symbolic function & maintain constants in solutions

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Tyler
Tyler 2014-9-26
评论： Star Strider 2014-9-27
Hi i am looking to integrate the below equation (F1) from 0->Inf
a(1), a(2), a(3) are just constants a1,a2,a3 and i'd like to see the solution to the integral with the constants in it.
FD = @(s) sqrt((a(1).^2+s).*(a(2).^2+s).*(a(3).^2+s)); F1 = @(s) 1./((a(1).^2+s).*FD(s));
Is this possible? the integrals can be evaluated if the values a(1) a(2) and a(3) are replaced with numbers.
Any help would be greatly appreciated
Thanks!

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回答（1 个）

Roger Stafford
Roger Stafford 2014-9-27
As I mentioned to you yesterday, you are unlikely to get a symbolic answer from 'int' as a function of a1, a2, and a3, because what you have there is an elliptic integral, and 'int' can't use any of the elementary functions available to it for expressing this function.

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