iam getting errors while performing integation

I1=∫ exp(j β z) δk1 r j1(r)[sin2 φj0(x)+cos2φj1 (x)/x]d z

This is expression.

I need integration within the limits of 0:l

My Matlab Code is:

clc;
clear all;
close all;
j=sqrt(-1);
delta = 0.05;
lambda=0.03;
beta0=209.5;
beta1=209.4;
l=6*lambda;
k1=sqrt(beta0^2-beta1^2);
a=0.03;
r=k1*a;
theta=90;
phi=0;
beta= (2* pi )/ lambda;
x=beta0 * a* sin(theta);
for z=0:l
i= (exp(j*beta*z))* delta * k1 * r* besselj(1,r)* (besselj(1,x)/x)
end
int(i,z,0,l)

Error is

Undefined function or method 'int' for input arguments of type 'double'.

Error in ==> int(i,z,0,l)

Answer 1

[Walter Roberson]

int() is for symbolic integration, if you have the symbolic toolbox. There are other routines for numeric integration, such as integral() if you have a new enough MATLAB, and otherwise routines such as quadgk() [amongst others]

I suggest you try

i = @(z) (exp(j*beta*z))* delta * k1 * r* besselj(1,r)* (besselj(1,x)/x);

integral(i, 0, 1)