Hi, I want to do the double integration of the following function:
Integrate[(-1)*(x + l/2)/((x + l/2)^2 + (y - y1)^2 + (z - z1)^2)^(3/2),{y1, 1,2},{z1,3,4}]
But, I am not getting any results. Mathemetica is saying the following things
"This computation has exceeded the time limit for your plan.\
$Aborted.
I have attached the screenshot of this here.
Any suggestions regarding solving this complex double integral will be appreciated. Thanks.
Mathematica have trouble to compute this integral:
Thank you for being so helpful. After doing the double integration over y1 and z1, I need to do triple integration over x,y and z (dx, dy and dz). I tried to do that. I got output for integration over x but did not get any output over y and z. I am not sure why. It might be low memory or something like that.
Another problem: My real limits are y1_max = 0.0019 and y1_min = -0.0019, z1_max = 1.1510^-5 and z1_min = -1.1510^-5. If I use those limits, I can not get any output over integration dz1. I am attaching my pdf files here.
Real limits for x, y and z are
x_min = -0.006, x_max = 0.006
y_min = -0.0019, y_max = 0.0019
z_min = -1.2510^-04, z_max = 1.2510^-4
I really appreciate any help you can provide. Thank you.
real limit complexity.pdf (32.7 KB)
triple integration error.pdf (84.1 KB)
Your integral is 5D.
Why do you expect that there is a closed form solution?
Not all integrals can be expressed in closed form.
Probably only way is compute numerically.
Thanks. Got it.
