Contour Illuminates

Complex Analysis
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Tolaso J Kos
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Contour Illuminates

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Post by Tolaso J Kos »

Show that:
$$\int_{-\infty}^{\infty}\cos \left ( ax^2 \right )\frac{\sinh\left ( 2ax \right )}{\sinh \left ( \pi x \right )}\,dx =\sin a, \; \left | a \right |\leq \frac{\pi}{2}$$
Imagination is much more important than knowledge.
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