Evaluating a definite integral with an infinity minus infinity indeterminate form

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What work have you done on this? What makes you think that it is of the indeterminate form in the thread title?

When you start in on this, if you haven't done so already, look at the integral with limits of integration 0 and b, do the integration, and then take the limit as b approaches infinity.

In doing the integral, I would go at this using partial fractions.