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[tex]\int_{-\infty}^{\infty}\frac{\ln{(a+ix)}}{x^2+1}dx[/tex]
I tried with integration by parts but go nowhere. I think it may require a branch cut and integrating along a contour.
How would you approach this?
I tried with integration by parts but go nowhere. I think it may require a branch cut and integrating along a contour.
How would you approach this?