Question

determine whether $\int_0^\infty e^{-ax^2}dx$ converges or diverges

score 227 · Answer 1 · 2018-02-06 21:51:52

227

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determine whether $\int_0^\infty e^{-ax^2}dx$ converges or diverges

Published on 06 Feb 2018 - 21:51

score 404 · Answer 2 · 2018-02-08 09:27:06

404

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On an alternative to computing $\int_{-\infty}^{\infty} \frac{\sin{x}}{x} \, dx$

Published on 08 Feb 2018 - 9:27

score 200 · Answer 3 · 2026-03-24 23:52:29

200

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Double integral related to exponential function

Published on 24 Mar 2026 - 23:52

score 214 · Answer 4 · 2026-03-24 20:33:28

214

Views

Geometric (or Intuitive) proof of the improper integration of $\frac1x $

Published on 24 Mar 2026 - 20:33

score 92 · Answer 5 · 2026-03-24 23:57:51

92

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Integral related to exponential function

Published on 24 Mar 2026 - 23:57

score 304 · Answer 6 · 2026-03-20 07:53:20

304

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Evaluation of $\int_{0}^\infty \frac{\sin(x)}{x}e^{- x²} dx$

Published on 20 Mar 2026 - 7:53

score 190 · Answer 7 · 2026-03-22 03:07:22

190

Views

Computing $\lim\limits_{n \to \infty} \int_0^{\frac{\pi}{2}}{\frac{(\sin(x))^{n}}{1-\sin{(x)}}\,\mathrm{d}x} $

Published on 22 Mar 2026 - 3:07

score 1.4k · Answer 8 · 2018-02-10 19:25:31

1.4k

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How would one show that the integral $\int_0^\infty \frac 1 {(1+x)\sqrt x}\,\mathrm d x$ either diverges or converges?

Published on 10 Feb 2018 - 19:25

score 64 · Answer 9 · 2018-02-10 19:35:46

64

Views

Convergence of improper integral $\int_{0}^{\infty} \frac{\sin(x)}{x^{1/3}} dx$

Published on 10 Feb 2018 - 19:35

score 1.1k · Answer 10 · 2026-03-23 02:27:18

1.1k

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How to show $\int_{0}^{\infty} \frac{dx}{x^3+1} = \frac{2\pi}{3\sqrt{3}}$

Published on 23 Mar 2026 - 2:27

score 47 · Answer 11 · 2018-02-11 17:25:32

47

Views

Prove or disprove- $\int_{a}^\infty f^p(x) \text{d}x$ converges.

Published on 11 Feb 2018 - 17:25

score 417 · Answer 12 · 2018-02-11 18:49:20

417

Views

To find definite integral using differentiation under integral sign

Published on 11 Feb 2018 - 18:49

score 178 · Answer 13 · 2026-03-22 09:23:19

178

Views

Simplify $\int\limits_{-\infty}^X\exp[-(Ae^x+Bx+Cx^2)]\mathrm dx$ and $\sum\limits_{n=0}^\infty\frac{(-A)^n}{n!}e^{Dn^2-Kn}$

Published on 22 Mar 2026 - 9:23

score 50 · Answer 14 · 2018-02-14 19:38:47

50

Views

What are similar problems to this? What fields of mathematics are relevant to this?

Published on 14 Feb 2018 - 19:38

score 65 · Answer 15 · 2018-02-15 09:34:37

65

Views

Limit as $t \rightarrow\infty$ of $(\ln(x+5)/26)-(\ln(t^2+1)/52)+(5\tan^{-1}(t))/26)-(\ln(5)/26)$

Published on 15 Feb 2018 - 9:34

List Question

determine whether $\int_0^\infty e^{-ax^2}dx$ converges or diverges

On an alternative to computing $\int_{-\infty}^{\infty} \frac{\sin{x}}{x} \, dx$

Double integral related to exponential function

Geometric (or Intuitive) proof of the improper integration of $\frac1x $

Integral related to exponential function

Evaluation of $\int_{0}^\infty \frac{\sin(x)}{x}e^{- x²} dx$

Computing $\lim\limits_{n \to \infty} \int_0^{\frac{\pi}{2}}{\frac{(\sin(x))^{n}}{1-\sin{(x)}}\,\mathrm{d}x} $

How would one show that the integral $\int_0^\infty \frac 1 {(1+x)\sqrt x}\,\mathrm d x$ either diverges or converges?

Convergence of improper integral $\int_{0}^{\infty} \frac{\sin(x)}{x^{1/3}} dx$

How to show $\int_{0}^{\infty} \frac{dx}{x^3+1} = \frac{2\pi}{3\sqrt{3}}$

Prove or disprove- $\int_{a}^\infty f^p(x) \text{d}x$ converges.

To find definite integral using differentiation under integral sign

Simplify $\int\limits_{-\infty}^X\exp[-(Ae^x+Bx+Cx^2)]\mathrm dx$ and $\sum\limits_{n=0}^\infty\frac{(-A)^n}{n!}e^{Dn^2-Kn}$

What are similar problems to this? What fields of mathematics are relevant to this?

Limit as $t \rightarrow\infty$ of $(\ln(x+5)/26)-(\ln(t^2+1)/52)+(5\tan^{-1}(t))/26)-(\ln(5)/26)$

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