How to integrate from 0 to infinity with x and 1 varying parameter?

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Hey, I need to simualte and plot the following function, but can't seem to figure it out. I tried implementin it and code is down below. On my first iteration(sadly, not saved) it launched and seemed to integrate, but the process was stuck, and I assume matlab was struggling with integration till infinity. Now it just not launching. Could you help with error that I have now and further show how can i implement this formula?
(a,b,d,p are generic numbers, I just want the code to run)
Thank you in advance, guys!
clear;
clc;
syms x;
u0 = 4*pi*10^-7;
L1 = 0.88e-6;
L2 = 0.88e-6;
a = 50*10^-3;
b = 50*10^-3;
d = 20*10^-3;
%p = 0:0.1*10^-2:0.5;
p = 0;
eq1 = besselj(1, x*sqrt(a/b));
eq2 = besselj(1, x*sqrt(b/a));
eq3 = besselj(0, x*p/sqrt(a*b));
eq4 = (exp(-x*d/sqrt(a*b)));
eq5 = pi*u0*sqrt(a*b);
eqf = eq1*eq2*eq3*eq4;
M = eq5*integral(eqf, 0, inf);

Respuestas (1)

Walter Roberson
Walter Roberson el 9 de Abr. de 2023
Movida: Walter Roberson el 9 de Abr. de 2023
syms x;
Pi = sym(pi);
u0 = 4*Pi*10^-7;
L1 = sym(88)*sym(10)^(-8);
L2 = sym(88)*sym(10)^(-8);
a = sym(50)*sym(10)^-3;
b = sym(50)*sym(10)^-3;
d = sym(20)*sym(10)^-3;
%p = 0:0.1*10^-2:0.5;
p = 0;
eq1 = besselj(1, x*sqrt(a/b));
eq2 = besselj(1, x*sqrt(b/a));
eq3 = besselj(0, x*p/sqrt(a*b));
eq4 = (exp(-x*d/sqrt(a*b)));
eq5 = Pi*u0*sqrt(a*b);
eqf = eq1*eq2*eq3*eq4
eqf = 
M = eq5*int(eqf, x, 0, inf)
M = 
vpa(M, 16)
ans = 
0.00000006753694369741884

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