Electronic field calculation of 2 wires

[ThiagoG]

Homework Statement

2 1.2m nonconducting wires meet at a right angle. One segment carries +2.5*10^-6 C of charge distributed uniformly along its length, and the other carries -2.5*10^-6 C distributed uniformly along it. Find the magnitude and direction of the electric field these wires produce at point P, which is .06 m from each wire.

Homework Equations

|E|=|kQ/r²|

The Attempt at a Solution

I have the solutions manual so I don't care for knowing how to solve it. I just want to know as to why I can't take the integral of (kQ/2r)dr with limits from -.08485(the distance from P to the tip of the wire) to +.08485.

 

[Simon Bridge]

I have the solutions manual so I don't care for knowing how to solve it. I just want to know as to why I can't take the integral of (kQ/2r)dr with limits from -.08485(the distance from P to the tip of the wire) to +.08485.

Because that is not how to solve it - which you don't care to know.
Hint: E is a vector.