# Triple integral with absolute value limits

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mohammed saleh on 4 Dec 2022
Commented: Walter Roberson on 5 Dec 2022
I would like to solve the following integral numerically:
I wrote this code, but the result is not coming. Can anyone tell me what my mistake is?
lambda1=25/(1000)^2;
lambda1=100/(1000)^2
lambda1 = 1.0000e-04
fun =integral3(@(l0,l2,l1) (l1.^-3).*exp(-pi*(lambda2.*l2.^(2)+lambda1.*l0.^(2)))./(sqrt(1-((l0.^(2)+l2.^(2)-l1.^(2))/(2*l0.*l2)).^2)),0,Inf,0,@(l0,l2) abs(l0-l2),@(l0,l2) (l0+l2))
Error using integral3
Invalid argument list. Function requires 1 more input(s).

Walter Roberson on 4 Dec 2022
lambda1=25/(1000)^2;
lambda2=100/(1000)^2
lambda2 = 1.0000e-04
fun =integral3(@(l0,l2,l1) (l1.^-3).*exp(-pi*(lambda2.*l2.^(2)+lambda1.*l0.^(2)))./(sqrt(1-((l0.^(2)+l2.^(2)-l1.^(2))/(2*l0.*l2)).^2)),0,Inf,0,Inf,@(l0,l2) abs(l0-l2),@(l0,l2) (l0+l2))
Warning: Inf or NaN value encountered.
Warning: The integration was unsuccessful.
fun = NaN
Walter Roberson on 5 Dec 2022
@(l0) l0 would not prevent l2 from being exactly equal to l0 . You would need something like @(l0) lo*(1-eps)

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