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## Homework Statement

The problem is really not bad; It's to find the flux due to a point charge at the center of Cube of side length d. I've gotten the answer I believe using Gauss's law (q/6epsilon)

I tried doing a Flux integral, and the integral seems kind of a pain in the ***... I'm not sure how to do it. I will post where I'm at and hopefully someone can tell me how to integrate this.

the exact question was

"Find the flux through a face of a cube from a point charge at the cube's center"

## Homework Equations

## The Attempt at a Solution

First I chose the face, assuming the charge is at the origin, such that da=dzdy(x), x = d/2, and y and z vary from -d/2 to d/2. I then changed Coulombs law to Cartesian coordinates and did some dot products, and substituted in d/2 for x.

[tex]\int[\frac{Q(d/2)}{(d^2/4)+y^2+z^2)^{3/2}}dydz[/tex]

How can one integrate this?

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