Titlebook: Inside Interesting Integrals; A Collection of Snea Paul J. Nahin Textbook 2020Latest edition Springer Nature Switzerland AG 2020 Differenti

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https://doi.org/10.1007/978-3-030-43788-6Differentiation Under the Integral; Dirichlet Integral; Euler Log-sine Integral; Feynman Integral; Integ

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Gamma and Beta Function Integrals,s well. An example of the gamma function in a physics problem is discussed. The chapter concludes with two integrals first treated by Euler that captured the interest of a teenage Gauss and continued to fascinate him all his life.

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Contour Integration,ex plane. The grand conclusion is that if such curves are properly constructed (that is, they include the infinite or semi-infinite real axis and handle any singularities present correctly), then the calculation of a wide variety of real-valued, improper definite integrals can be done.