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Please this problem is similar to your problem. But i could'nt solve please help me

MathType5

https://www.physicsforums.com/showthread.php?p=3412141#post3412141 please help me

Hi BackEMF this is my Matlab code you can use quad instead of quade %clc; clear all lamda=1.55e-6; k=2*pi/lamda; a=10000; r=1e-2;L=1000; f=@(x)(1./(1+a*x.^2).*exp(i*k/(2*L)*(x.^2-2*x*r)));%% integral by numerical solution numerical=quade(f,-inf,inf)

hi tide can you help me ?i couldn't solve this problem link below. Please help me https://www.physicsforums.com/showthread.php?p=3411289#post3411289

:) ok i will try

can you help me to solve using square

yes Calculus of residues but true path is important may be fresnel integral can solve this problem but diffucult to understand. :(

j=sqrt(-1) and a is positive I solved this integral numerically and i found the exact result in both Matlab and Mathematica program but I need analytical solution. I tried residue theorem but result didn't match numeric solutions.I asked some mathematicians but they couldn't find true path...

Hi this is very complicated integral i couldn't solve can you help me ? how does it solve