Electric Field due to a rod (1-dimensional)

[thoff430]

Homework Statement

I am looking for the absolute value of the electric field at point A (see picture below) relative to the whole charged rod at the left side.

Homework Equations

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The Attempt at a Solution

I am not quite sure whether my choice for R and the boundaries of the integral are correct.
The solution seems to be legit at first sight, but as I'm just getting started with integrals, I would very thankful for any feedback or advice.

 

[thoff430]

Well, no one? Do I need to type out my solution? Thought it was okay to scan it.