Electric field due to charged rods

[-EquinoX-]

Homework Statement

If I have a charged vertical rod and a point P which is distanced x from the perpendicular bisector of it. How do I find the electric field at P if x/(/l/2) < 1, where l is the length of the rod

Homework Equations

The Attempt at a Solution

I know that the equation of an electric field due to a charged rod at P is:

$$\frac{\lambda L}{(4 \pi \epsilon_0) * sqrt(x^2 + L^2/4)}$$

I don't know how to proceed further

 

[LowlyPion]

I'd draw a diagram and write a formula for a uniform line of charge and evaluate the integral over the range of the coordinates for the length of the rod.