Is My Integral Setup Correct for the Electric Field of a Square Sheet?

[Shinobii]

Homework Statement

Field the electric field of a square sheet. I understand this is a simple problem, I just want to confirm I have the integral set up correctly.

Homework Equations

$$\vec{E} = \sigma z \int_{-a/2}^{a/2} \int_{-a/2}^{a/2} \frac{dx' \, dy'}{(x'^2 + y'^2 + z)^{3/2}} \hat{z}.$$

I just want to double check if I have set up the integral correctly.

 

[TSny]

Looks good to me! [EDIT: In SI system there would be an overall factor of $k = \frac{1}{4\pi\epsilon_0}$]