The question I am asking is about a variation on integrating a typical line charge.
The charged line lays on the x-axis(beginning at x=0), which has a length "L". Their is a test charge point, also on the x-axis at a distance "D" from the line(or L+D from the origin)
I am quite familiar with how to set up the integral to find the force or field on the test charge for a UNIFORM charge distribution on the charged line. (dq = lambda * dx)
My problem however is that my linear charge density isn't uniform, it is a function of x with an unknown constant. (lambda = constant * x)
Can anyone point me in the right direction, or at least to a resource that might have similar solved problems?
Thanks