I'm so embarrassed. You're right. Just plugging in the prior bounds gets the result. I thought of doing that but I sort of just eye-balled it and thought it wouldn't give me the result I was looking for. Sorry about that.
It's a text by Corson and Lorrain. Definitely not as rigorous as the...
Hi guys.
I’m looking at the brute force way at getting the E-field for a uniformly spherical charge distribution. The location of the E-field of interest is anywhere outside of the sphere. Here are some images
Everything makes sense. I’m just not sure why the bounds for ‘s’ where z-r to...