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# Double integration of a complex function

Posted 1 month ago
 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. Attachments:
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Posted 1 month ago
 Mathematica have trouble to compute this integral:
Posted 1 month ago
 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 y1max = 0.0019 and y1min = -0.0019, z1max = 1.15*10^-5 and z1min = -1.15*10^-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 xmin = -0.006, xmax = 0.006 ymin = -0.0019, ymax = 0.0019 z_min = -1.2510^-04, z_max = 1.2510^-4 I really appreciate any help you can provide. Thank you. Attachments:
Posted 1 month ago
 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.
Posted 1 month ago
 Thanks. Got it.
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