Triple integral of symbolic function
31 views (last 30 days)
Show older comments
I am trying to evaluate triple integral of a symbolic function.
Where the symbolic function is given as below:
func=r.^2.*sin(phi).*(r.^2.*cos(phi).^2 + r.*cos(theta).*sin(phi) + r.*sin(phi).*sin(theta))
The triple integral equation is given as below:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/983170/image.png)
Since this is symbolic function integral, it should not be calculating the integral, instead return the value of the integral.
Which function within matlab should I be using?
and how to use that function?
0 Comments
Answers (1)
Star Strider
on 29 Apr 2022
Try this —
syms phi r theta r0 r1 phi0 phi1 theta0 theta1
sympref('AbbreviateOutput',false);
func(r,phi,theta) = r.^2.*sin(phi).*(r.^2.*cos(phi).^2 + r.*cos(theta).*sin(phi) + r.*sin(phi).*sin(theta))
intr = int(func, r, r0, r1)
intphi = int(intr, phi, phi0, phi1)
inttheta = int(intphi, theta, theta0, theta1)
int3 = simplify(inttheta, 500)
Make appropriate changes to get the desired result.
.
0 Comments
See Also
Categories
Find more on Calculus in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!