How to Derive the Electric Field Above an Infinitely Long Charged Sheet?

kirakyoumou
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An infinitely long sheet of charge of width L lies in the xy-plane between x = - L/2 and x = L/2. The surface charge density is n. Derive an expression for the electric field E at height z above the centerline of the sheet. (Assume that z \ge 0.)

Express your answer in terms of the variables n, L, z, unit vector k, and appropriate constants.
 
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What have you tried?
 
I don't even know where to start. My book only gives explanations for FINITE planes. :( I know that I'll have to use an improper integral but...idk anything else.
 
What is the expression used to calculate E for a finite surface?
 

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