Numerical integration of a nested integral; limits of inner integral depend on the outer integration variable
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I have 2 nested integrals. I want to integrate a bessel function multiplied by x. And the integration limits depend on the integration variable of the outer intergral.
The outer integral should go till inf. But for simplification i set it to 1e6.
The following code is a example code, which doesnt work. because the integration limits arent scalar values.
This integral doesnt habe a analytical solution so i cant simplify it.
How can i change my implementation to solve this problem?
Thank you!
Bessel_integrand = @(x) x .* besselj(0,x);
Integrand_B = @(a) integral(Bessel_integrand,a * 1, a * 2);
result = integral ( Integrand_B, 0 , 1e6);
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