Complex Analysis: Theory and Applications · Problem 8.6.18

Conformal Mapping — Howell & Matthews

Mathematics — Complex Analysis · contour-integrals-residues

Problem

Use residues to compute the following integral: P.V.∫0∞ln⁡x(x+a)2 dx,where a>0.\text{P.V.} \int_0^\infty \frac{\ln x}{(x+a)^2} \, dx, \quad \text{where } a > 0.

Related theory

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