Saturday, 31 March 2018

complex analysis - Is there an elementary method for evaluating displaystyleinti0nftyfracdxxs(x+1)?

I found a way to evaluate 0dxxs(x+1) using the assumption that sR and $0

Apparently it should be easily extended to all sC with $0

I posted my solution here: http://thetactician.net/Math/Analysis/Integral1.pdf



I'm pretty sure there's a more concise method for evaluating it...and I'd also like to make the extension to C more rigorous.



Any ideas?

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