Okay, that's an error on my part. It is definitely a non conducting solid sphere as it has a uniform charge distribution. But my friend @DuckAmuck the parameters of the question clearly states that I need to use the ONLY coulomb's law and Integrate that to deduce the expression. Thanks anyways.
Homework Statement
"Find the electric field due to a solid conducting sphere of uniform charge distribution using Coulomb's law and brute force integration only. Use Gauss' Law to verify the result.
Homework Equations
Coulomb's law for element field dE[/B]
The Attempt at a Solution
I...