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I need to solve the following TRIPLE INTEGRAL
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I need to solve the following triple integral:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/331172/image.png)
The input data are:
np=10;
sigmac=16e6;
tau=0.9;
a=10e-3;
b=10e-3;
c=5e-3;
d=5e-3;
e=8e-3;
za=a;
zb=za+b;
zc=zb+c;
zd=zc+d;
ze=zd+e;
R1=25e-3;
R2=65e-3;
R3=90e-3;
A4d=1.62e-04-9.53e-04i;
B4d=1.03e+12-2.13e+12i;
gamma4=5.90e+02+2.14e+02i;
alfak=550.0686;
OMEGA=1;
t=10;
and:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/331175/image.jpeg)
I tried to use this code but it gives me some errors:
Xr4=A4d*exp(gamma4*z)+B4d*exp(-gamma4*z);
Jr4=real((Xr4*(1/R)*besselj(np,alfak*R)*exp(1i*np*(theta-OMEGA*t))));
Jtheta4=real((1i*(1/np)*Xr4*(alfak*besselj(np-1,alfak*R)-(np/R)*besselj(np,alfak*R))*exp(1i*np*(theta-OMEGAt))));
fun_r= @(R, theta, z) abs(Jr4)^2*R;
fun_theta=@(R, theta, z) abs(Jtheta4)^2*R;
P_4=(1/sigmac)*integral3(fun_r,R1,R2,0,tau,z3,z4)+integral3(fun_theta,R1,R2,0,tau,z3,z4);
P_5=(1/sigmac)*integral3(fun_r,0,R1,0,tau,z3,z4)+integral3(fun_theta,0,R1,0,tau,z3,z4);
P_6=(1/sigmac)*integral3(fun_r,R2,R3,0,tau,z3,z4)+integral3(fun_theta,R2,R3,0,tau,z3,z4);
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