How can I use complex analysis to compute the integral of
$$\int_0^\infty \frac{x^\alpha}{1 + (kx)^\beta} dx$$
I would like to see how to do it using keyhole integration or some other method.
How can I use complex analysis to compute the integral of
$$\int_0^\infty \frac{x^\alpha}{1 + (kx)^\beta} dx$$
I would like to see how to do it using keyhole integration or some other method.
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