What Is the Electric Field Perpendicular to a Uniformly Charged Rod?

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Homework Statement

A rod of length 0.1m has a uniform linear charge density of 3C/m. Determine the Electric field at a point d=P located at a perpendicular distance 1m along a line of symmetry of the rod.

The Attempt at a Solution

I know i have to use super position and integrate but I don't think I'm using the right integration.

I was trying 2$$\lambda$$L$$\oint$$$$\frac{ddl}{ (L^2 + d^2)^3/2}$$

 

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it should be (L^2 + d^2) to the 3/2 power. and it is integrated from 0 to 1/2. and lamba is the linear charge density, L is length of rod, d is distance normal to rod