I have 3 problems which I can't really wrap my head around. I guess the ones I've been doing so far were much more literal. I was wondering if someone could help me out

1.

2.

3. A charged rod of length

*L* produces an electric field at point

*P*(

*a*,

*b*) given by the integral below, where

*λ* is the charge density per unit length on the rod and

*ε*0 is the free space permittivity (see the figure) and

*b* ≠ 0. Evaluate the integral to determine an expression for the electric field

*E*(

*P*). (Use lambda for

*λ* and Emf_0 for

*ε*0.)