Hi(adsbygoogle = window.adsbygoogle || []).push({});

I am currently working on a project, and I need to calculate the definite triple integral of 1/|x+y+z|. i.e:

int int int (1/sqrt((x-x')^2+(y-y')^2+(z-z')^2)) dx dy dz.

I have solved the integral, and it has 48 terms if the limits are inserted (6 terms with 3 sets of upper and lower limits). The computing power to model with this huge expression is too much, so is there a trick or shortcut that outputs a simple answer, even if it is slightly approximated?

Assistance would be greatly appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Extremly long Definite triple integral

**Physics Forums | Science Articles, Homework Help, Discussion**