Need help with partial fractions integral for flux through a cube?

JJfortherear
Messages
14
Reaction score
0

Homework Statement



integral of: 1/(((L2)/4)+y2)This is for proving the flux through a cube from a wire going through it is = Qenc/epsilon0

All that's left for one face after taking out constants is the above equation, and I really don't want to go re learn how to do partial fractions again. Any help?
 
Physics news on Phys.org
Use a trig substitution, rather than partial fractions.
 
Mark44 said:
Use a trig substitution, rather than partial fractions.

alright, was just waiting for someone to say it :)
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

Similar threads

Back
Top