Uniformly charged rod concept question

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If a uniformly charged rod is bisected in the middle the limits of integration would be (-L/2) to (L/2)? Thus the formula would be the integral from (-L/2) to (L/2) of k*dq/r^2. Now of course there might be an angle so cos(theta) and sin(theta) would need to be added.

If the point at which we are trying to find the electric field at is either to the left or right of the bisecting line, would the limits of integration be one end number to the other end number? like if a rod extended from (0,0) to (6,0), the limits of integration would be 0 to 6 for a point to the left or right of the bisecting line? Thus the formula would be the integral from the left or bottom to the right or top of k*dq/r^2. Of course the components would need to be foun using cos and sin.

But do I have the concept of the limits of integration correct?
Thanks.
Stephen
 

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