Hi,

I'd like to compute the following integral in closed form:

I assume this is possible via complex analysis, but I can't figure out how to extend this to a complex integration problem. Any ideas?

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- Apr 26th 2012, 09:18 AMjensDefinite integral in closed form?
Hi,

I'd like to compute the following integral in closed form:

I assume this is possible via complex analysis, but I can't figure out how to extend this to a complex integration problem. Any ideas? - Apr 26th 2012, 09:21 AMProve ItRe: Definite integral in closed form?
- Apr 26th 2012, 10:53 AMjensRe: Definite integral in closed form?
I've tried that already, but it's not conclusive. Whatever I try with integration by parts, I only manage to express the above integral in terms of a similar integral, but with the logarithm squared, or the denominator squared. So it's making things only more difficult instead of simpler.

By the way, I happened to find the exact value of this integral by playing around with WolframAlpha and doing some extra algebra. It reads as follows:

and is in agreement with the numerical computation.

But that doesn't tell me the steps to get to this result…