Tag Archives: contour_integral

From Math Stack Exchange: How to choose a proper contour for a contour integral?

One of the great difficulties with contour integration is choosing an appropriate contour. Like integration itself, there are few rules and choosing the right contour is a matter of intuition, experience, and trial and error. A member of math stack … Continue reading

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Examples From Inside Interesting Integrals by Paul Nahin: Part 4

Part 1 Part 2 Part 3 This is part 4/4 of a review by example of Inside Interesting Integrals by Paul Nahin. Here, we will use two methods to solve problem C8.8: \( \int\limits_{-\infty}^{\infty} \frac{x^{2}}{(x^{2}+a^{2})^{3}} dx = \frac{\pi}{8a^{3}} \) for … Continue reading

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