Question

Convergence of integral $\int_0^{1/2}\frac{r^{n-2}}{\log(r)}dr$

score 71 · Answer 1 · 2020-02-25 18:16:06

71

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Convergence of integral $\int_0^{1/2}\frac{r^{n-2}}{\log(r)}dr$

Published on 25 Feb 2020 - 18:16

score 29 · Answer 2 · 2020-02-26 06:58:46

29

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Exponential integral

Published on 26 Feb 2020 - 6:58

score 46 · Answer 3 · 2026-04-04 00:37:42

46

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Is there a closed form expression of $\int_0^T \dot f(t) / t dt$?

Published on 04 Apr 2026 - 0:37

score 153 · Answer 4 · 2026-04-05 18:27:17

153

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Evaluate $\int_0^{\infty} \frac{\sqrt{x}}{(x+1)^2} {\rm d}x$

Published on 05 Apr 2026 - 18:27

score 107 · Answer 5 · 2020-02-27 07:00:37

107

Views

Does $\int _{0} ^\infty 2^n dn = -\frac{1}{ \ln 2}$ in any studied context?

Published on 27 Feb 2020 - 7:00

score 49 · Answer 6 · 2026-03-25 13:55:41

49

Views

Is there a name for this kind of integral?

Published on 25 Mar 2026 - 13:55

score 536 · Answer 7 · 2020-02-28 00:00:52

536

Views

convergence of improper integral $\int_{0}^{\pi/2}(\sin^{m-1}x)(\cos^{n-1}x) dx $

Published on 28 Feb 2020 - 0:00

score 89 · Answer 8 · 2020-03-01 11:00:08

89

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How to compute the $ \lim_{x \to 0+} x \int_x^1\frac{\cos t}{t^2}\, dt$?

Published on 01 Mar 2020 - 11:00

score 50 · Answer 9 · 2020-03-01 13:09:57

50

Views

Divergence of $\int_8^\infty\frac{\sqrt{x+1}}{x+\sqrt{x}} dx$

Published on 01 Mar 2020 - 13:09

score 791 · Answer 10 · 2020-03-02 10:07:52

791

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if a function f is $C^1$ and its derivative is bounded and $\int_{0}^{\infty}f$ converges then $f(x)\overset{x\rightarrow \infty}{\rightarrow}0$

Published on 02 Mar 2020 - 10:07

score 126 · Answer 11 · 2020-03-02 20:32:37

126

Views

How to calculate integral $\int_{0}^{\infty}x\ \operatorname{sech^3}(x)dx$

Published on 02 Mar 2020 - 20:32

score 249 · Answer 12 · 2020-03-03 05:39:13

249

Views

Convergence of improper integral $\int_{0}^{+\infty}\frac{\arctan \alpha x - \arctan \beta x}{x} dx$

Published on 03 Mar 2020 - 5:39

score 43 · Answer 13 · 2020-03-03 22:43:02

43

Views

Asymptotic estimate of an integral form for the expected value of a random variable

Published on 03 Mar 2020 - 22:43

score 45 · Answer 14 · 2020-03-04 09:56:42

45

Views

Question over improper integral.

Published on 04 Mar 2020 - 9:56

score 112 · Answer 15 · 2026-04-04 02:18:41

112

Views

Finding if $\int_{1}^{\infty} \frac{\sin(x+2)}{x^2} \, dx $ converges, with two conficting solutions?

Published on 04 Apr 2026 - 2:18

List Question

Convergence of integral $\int_0^{1/2}\frac{r^{n-2}}{\log(r)}dr$

Exponential integral

Is there a closed form expression of $\int_0^T \dot f(t) / t dt$?

Evaluate $\int_0^{\infty} \frac{\sqrt{x}}{(x+1)^2} {\rm d}x$

Does $\int _{0} ^\infty 2^n dn = -\frac{1}{ \ln 2}$ in any studied context?

Is there a name for this kind of integral?

convergence of improper integral $\int_{0}^{\pi/2}(\sin^{m-1}x)(\cos^{n-1}x) dx $

How to compute the $ \lim_{x \to 0+} x \int_x^1\frac{\cos t}{t^2}\, dt$?

Divergence of $\int_8^\infty\frac{\sqrt{x+1}}{x+\sqrt{x}} dx$

if a function f is $C^1$ and its derivative is bounded and $\int_{0}^{\infty}f$ converges then $f(x)\overset{x\rightarrow \infty}{\rightarrow}0$

How to calculate integral $\int_{0}^{\infty}x\ \operatorname{sech^3}(x)dx$

Convergence of improper integral $\int_{0}^{+\infty}\frac{\arctan \alpha x - \arctan \beta x}{x} dx$

Asymptotic estimate of an integral form for the expected value of a random variable

Question over improper integral.

Finding if $\int_{1}^{\infty} \frac{\sin(x+2)}{x^2} \, dx $ converges, with two conficting solutions?

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