Question

How to calculate $\int \limits_{-\infty}^{+\infty} e^{-\frac{(x-m)^2}{2\sigma^2}}dx$

score 78 · Answer 1 · 2026-03-26 09:41:06

78

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How to calculate $\int \limits_{-\infty}^{+\infty} e^{-\frac{(x-m)^2}{2\sigma^2}}dx$

Published on 26 Mar 2026 - 9:41

score 95 · Answer 2 · 2026-03-26 04:14:44

95

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Asymptotic behavior of the sequence $u_n=\int_0^1\frac{e^{-t}}{t+\frac{1}{n}}dt$

Published on 26 Mar 2026 - 4:14

score 106 · Answer 3 · 2018-04-11 04:48:53

106

Views

Computing the integral $\int_0^\infty e^{ -t- \frac{1}{t}} \frac{dt}{\sqrt{t}}$

Published on 11 Apr 2018 - 4:48

score 50 · Answer 4 · 2018-04-11 06:26:43

50

Views

Cannot find limit

Published on 11 Apr 2018 - 6:26

score 64 · Answer 5 · 2018-04-11 07:38:45

64

Views

Convergence of the improper integral $\int_1^{\infty} f(x)dx$

Published on 11 Apr 2018 - 7:38

score 108 · Answer 6 · 2018-04-11 17:20:32

108

Views

Writing sum as integral

Published on 11 Apr 2018 - 17:20

score 39 · Answer 7 · 2018-04-11 17:42:54

39

Views

Does the integral converge? Indeterminate limits

Published on 11 Apr 2018 - 17:42

score 97 · Answer 8 · 2018-04-11 19:16:34

97

Views

Find $\lim_{n\to\infty}\int\limits_{0}^\infty{dx\over x^n +1}$

Published on 11 Apr 2018 - 19:16

score 98 · Answer 9 · 2026-03-25 14:36:40

98

Views

Showing that $u(x)=(1+x^2)^{-k/2} (\ln(2+x^2))^{-1}$ belongs to $\mathcal W^{1,p}(\Bbb R)$.

Published on 25 Mar 2026 - 14:36

score 40 · Answer 10 · 2018-04-11 20:10:51

40

Views

Questions about existence of functions satisfying integral properties

Published on 11 Apr 2018 - 20:10

score 61 · Answer 11 · 2018-04-11 22:24:16

61

Views

Need help figuring out error on Improper Integral Resolution

Published on 11 Apr 2018 - 22:24

score 161 · Answer 12 · 2026-03-26 14:42:03

161

Views

Integral involving hypergeometric functions - $\int_{0}^{\infty} e^{(ax)} U(c,d,b_1x)U(c,d,b_2x) dx$

Published on 26 Mar 2026 - 14:42

score 1.6k · Answer 13 · 2018-04-12 13:45:06

1.6k

Views

Evaluate $\int_0^\infty{\frac{\ln x \sin x}{x}dx}$

Published on 12 Apr 2018 - 13:45

score 43 · Answer 14 · 2018-04-12 17:36:52

43

Views

Tricky Integral involving absolute value

Published on 12 Apr 2018 - 17:36

score 49 · Answer 15 · 2018-04-12 23:13:27

49

Views

Finding interval of uniform convergence for $\sin^2(tx)/x^2$

Published on 12 Apr 2018 - 23:13

List Question

How to calculate $\int \limits_{-\infty}^{+\infty} e^{-\frac{(x-m)^2}{2\sigma^2}}dx$

Asymptotic behavior of the sequence $u_n=\int_0^1\frac{e^{-t}}{t+\frac{1}{n}}dt$

Computing the integral $\int_0^\infty e^{ -t- \frac{1}{t}} \frac{dt}{\sqrt{t}}$

Cannot find limit

Convergence of the improper integral $\int_1^{\infty} f(x)dx$

Writing sum as integral

Does the integral converge? Indeterminate limits

Find $\lim_{n\to\infty}\int\limits_{0}^\infty{dx\over x^n +1}$

Showing that $u(x)=(1+x^2)^{-k/2} (\ln(2+x^2))^{-1}$ belongs to $\mathcal W^{1,p}(\Bbb R)$.

Questions about existence of functions satisfying integral properties

Need help figuring out error on Improper Integral Resolution

Integral involving hypergeometric functions - $\int_{0}^{\infty} e^{(ax)} U(c,d,b_1x)U(c,d,b_2x) dx$

Evaluate $\int_0^\infty{\frac{\ln x \sin x}{x}dx}$

Tricky Integral involving absolute value

Finding interval of uniform convergence for $\sin^2(tx)/x^2$

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