# 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

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))

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### Accepted Answer

Walter Roberson
on 4 Dec 2022

lambda1=25/(1000)^2;

lambda2=100/(1000)^2

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))

##### 3 Comments

Walter Roberson
on 5 Dec 2022

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