Integrate symbolic expression while maintaining constants

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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!

回答(1 个)

Roger Stafford
Roger Stafford 2014-9-25
Unless I am mistaken, that integrand gives rise to an elliptic integral, and probably 'int' is unable to express its integral in those terms using symbolic parameters.

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