Finding the voltage at a radius of a cylinder

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Homework Statement


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Homework Equations


Vab = ∫ E*dr

The Attempt at a Solution


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[/B]

For part (b) I am not sure if I should set the upper and lower bound of the integral from "R" to "2R" or "2R" to "3R". If done so, this would give me V2R = Vab * ln|3R/2R| / ln |3| instead of what is on the image.
 
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The problem is asking you to find the potential difference (i.e. voltage) between a point on the inner cylinder at r = R and a point at r = 2R. What do you think the limits of integration ought to be?