Integrate symbolic expression while maintaining constants

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!

Answer 1

[Roger Stafford]

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.