Mathematical Methods in the Physical Sciences · Problem 11.18

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · contour-integration

Problem

Evaluate the integral by contour integration. ∫0∞xsin⁡(πx/2)x4+4 dx\int_0^\infty \frac{x\sin(\pi x/2)}{x^4+4}\,dx

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