$\lim_{\sigma \to +\infty} \int f(x + \varepsilon) \frac{1}{\sqrt{2\pi\sigma^2}} e^{-\frac{\varepsilon^2}{2\sigma^2}}\mathrm{d}\varepsilon$ is a line.

score 178 · Answer 11 · 2026-04-08 17:35:15

178

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Relationship between Hankel Function and Hypergeometric Function

Published on 08 Apr 2026 - 17:35

score 117 · Answer 12 · 2016-09-27 12:55:30

117

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Does the Euler spiral - $ \int_{-\infty}^\infty e^{ikx^2} \, dx$ - Converge?

Published on 27 Sep 2016 - 12:55

score 748 · Answer 13 · 2016-09-27 15:43:41

748

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Prove $\int_0^{\infty}\frac{\ln (x)}{(x^2+1)(x^3+1)}\ dx=-\frac{37}{432}\pi^2$ with real method

Published on 27 Sep 2016 - 15:43

score 39 · Answer 14 · 2016-09-28 10:37:55

39

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Improper integral defined as one that the integral have one or more discontinuities or infinity.

Published on 28 Sep 2016 - 10:37

score 271 · Answer 15 · 2016-09-29 08:08:34

271

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How do I determine whether $\int _{ -\infty }^{ \infty }{ \frac { x }{ 37+x^2 } dx } $ is convergent or divergent?

Published on 29 Sep 2016 - 8:08

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Relationship between Hankel Function and Hypergeometric Function

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How do I determine whether $\int _{ -\infty }^{ \infty }{ \frac { x }{ 37+x^2 } dx } $ is convergent or divergent?

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