vpaintegral() not showing output

I want to integrate my two variable function w.r.t one variable.

And i used vpaintegral() for that, But it is not showing expected output.

i gave my script below

syms theta phi
Nr = 20;
p = 2;
D = 1/(0.6*10^-3);
Q = 1/(40.27*10^-3); 
theta_d = 1.1652; 
theta_q = 0.4056; 
Aog = (2/pi)*(D*theta_d+Q*theta_q); 
k = 2;
Ginvi = 0;
for i=2:2:k
    Akg = (4*(Q-D)/(pi*i))*(-1)^((i+4)/2)*sin(i*theta_q);
    Ginvi = Ginvi+Akg*cos(p*i*(phi-theta));
end
Ginv = vpa((Ginvi+Aog), 4)

Ginv = 

ginv = vpaintegral(Ginv, phi, 0, 2*pi)

ginv = 

I want to see "ginv" but it is showing like above.

What to add for getting output??

Answer 1

[Walter Roberson]

You cannot. vpaintegral always gives up immediately when there are unbound variables besides the variable of integration.

vpaintegral is strictly a (symbolic) numeric solver. It never attempts to split the system to do what it can leaving the rest.

[Bathala Teja]

then suggest me which function i have to use for this operation

[Walter Roberson]

int()

[Bathala Teja]

ok thank you