MATLAB: Numeric integral, symbolic function, whats wrong here

integralMATLAB

I wonder why matlab wont solve this integral for me. Is it the variable t that is the problem? I tried to use vpa in case that was the problem, but it does not look like that was the case eiter. Could someone please help me out?
clc
clear all
syms t;
rho = exp(sin(t));
theta = 2*exp(sin(t));
phi = 3*exp(sin(t));
rho_dot = diff(rho);
theta_dot = diff(theta);
phi_dot = diff(phi);
func = sqrt(rho_dot.^2+rho.^2*theta_dot.^2+ rho.^2*phi_dot.^2*(sin(theta)).^2)
vpafunc = vpa(func);
dist01 = integral(vpafunc, 0, 1)
Error messages (and cmd window) is as follows:
func =
(exp(2*sin(t))*cos(t)^2 + 4*exp(4*sin(t))*cos(t)^2 + 9*sin(2*exp(sin(t)))^2*exp(4*sin(t))*cos(t)^2)^(1/2)
Error using integral (line 82)
First input argument must be a function handle.
Error in Modreg_Ov1 (line 20)
dist01 = integral(vpafunc, 0, 1)

Best Answer

clc
clear
 
syms t;
 
rho = exp(sin(t));
theta = 2*exp(sin(t));
phi = 3*exp(sin(t));
 
rho_dot = diff(rho);
theta_dot = diff(theta);
phi_dot = diff(phi);
 
func = sqrt(rho_dot.^2+rho.^2*theta_dot.^2+ rho.^2*phi_dot.^2*(sin(theta)).^2)
dist01 = vpa(int(func,0,1))  % Use int for symbolic integration
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