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Aug
24
awarded  Student
Aug
24
asked How we can solve: $\int_0^\infty \frac{\exp(ib x) }{x+b}d x$
Aug
23
comment What is suitable contour shape for $\int_0^\infty\frac{b^2+2ab+k}{b(b^2+ab+l)}e^{bx}~db$
It has simple poles(singularity points) at $b=0, -a/2 \pm \sqrt{a^2-4l}/2 $. To solve such integrals, we take help of contour integration, and residue theorem. I am not able to find proper contour to solve this integration.
Aug
22
asked What is suitable contour shape for $\int_0^\infty\frac{b^2+2ab+k}{b(b^2+ab+l)}e^{bx}~db$