Definite Integral to Infinity of Power of x over 1 + 2 x Cosine Beta + x Squared

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Theorem

$\displaystyle \int_0^\infty \dfrac {x^m \rd x} {1 + 2 x \cos \beta + x^2} = \frac \pi {\sin m x} \frac {\sin m \beta} {\sin \beta}$


Proof


Sources