You can define this integral using following steps:
- Declare constants and variables. Use syms to declare a symbolic variable.
- Built the expression under integral.
- Use vpaintegral function to compute definite integral.
Here is sample code for it.
k0=1;x=1;y=1;z0=1;
syms u
expr = cosh(u)^2 * cos(k0*x*cosh(u)) * cos(k0*y*cosh(u)*sinh(u)) * exp(-k0*(cosh(u*z0))^2);
out= vpaintegral(expr,u,[0,inf]);
