Question

How to verify that $e^{x(z_1+1+z_2)}\frac{\Gamma (z_2) \Gamma (z_1)}{\Gamma (z_1+z_2 + 2)} \in L^1(\mathbb{R^2})$?

score 159 · Answer 1 · 2026-03-25 21:51:11

159

Views

How to verify that $e^{x(z_1+1+z_2)}\frac{\Gamma (z_2) \Gamma (z_1)}{\Gamma (z_1+z_2 + 2)} \in L^1(\mathbb{R^2})$?

Published on 25 Mar 2026 - 21:51

score 67 · Answer 2 · 2018-06-06 11:42:36

67

Views

Convergence of an improper integral.

Published on 06 Jun 2018 - 11:42

score 42 · Answer 3 · 2018-06-06 14:49:19

42

Views

How can I evaluate $\lim\limits_{X\to +\infty}\int_{-X}^X x^n \cdot e^{-\frac{x^2}{2}} ~{\rm d}x$?

Published on 06 Jun 2018 - 14:49

score 300 · Answer 4 · 2018-06-06 16:02:34

300

Views

Square integrable functions and integral convergence

Published on 06 Jun 2018 - 16:02

score 151 · Answer 5 · 2018-06-06 16:13:28

151

Views

Improper integral $\int \frac{1}{\sqrt{1-ax-by}} \,dx\,dy$

Published on 06 Jun 2018 - 16:13

score 51 · Answer 6 · 2018-06-07 08:15:43

51

Views

Improper integral involving sinh

Published on 07 Jun 2018 - 8:15

score 95 · Answer 7 · 2018-06-07 14:17:50

95

Views

Is $ \int_{-2}^{2}\frac{e^{-x}}{\sqrt{x+2}}\text dx $ convergent?

Published on 07 Jun 2018 - 14:17

score 97 · Answer 8 · 2018-06-07 20:36:44

97

Views

how to prove the following improper integral is diverging $\int_{\pi/2}^{\infty}\left |\frac{\cos(x)}{x+\sin(x)} \right | dx $

Published on 07 Jun 2018 - 20:36

score 168 · Answer 9 · 2018-06-08 06:14:04

168

Views

Compute $\int_{0}^{1}\frac{\arcsin(x)\ln(1-x)}{x\sqrt{1-x^2}}dx$

Published on 08 Jun 2018 - 6:14

score 151 · Answer 10 · 2018-06-10 08:40:56

151

Views

Is this proof of the following integrals fine $\int_{0}^{1} \frac{\ln(1+x)}{x} dx$?

Published on 10 Jun 2018 - 8:40

score 88 · Answer 11 · 2018-06-12 13:16:33

88

Views

Evaluate $\int_{0}^{\infty} \frac{x}{1+e^x}dx$

Published on 12 Jun 2018 - 13:16

score 190 · Answer 12 · 2026-03-25 23:52:29

190

Views

How would one prove the existence of the following indefinite integral

Published on 25 Mar 2026 - 23:52

score 408 · Answer 13 · 2026-03-25 06:09:46

408

Views

Hyperbolic tangent expansion in temperature

Published on 25 Mar 2026 - 6:09

score 429 · Answer 14 · 2018-06-14 08:30:20

429

Views

Trick to solve an improper integral

Published on 14 Jun 2018 - 8:30

score 53 · Answer 15 · 2018-06-15 17:27:09

53

Views

Solving: $\int_{-\infty}^{+\infty}e^{-2i\pi xy-\pi x^2/r^2}dx$

Published on 15 Jun 2018 - 17:27

List Question

How to verify that $e^{x(z_1+1+z_2)}\frac{\Gamma (z_2) \Gamma (z_1)}{\Gamma (z_1+z_2 + 2)} \in L^1(\mathbb{R^2})$?

Convergence of an improper integral.

How can I evaluate $\lim\limits_{X\to +\infty}\int_{-X}^X x^n \cdot e^{-\frac{x^2}{2}} ~{\rm d}x$?

Square integrable functions and integral convergence

Improper integral $\int \frac{1}{\sqrt{1-ax-by}} \,dx\,dy$

Improper integral involving sinh

Is $ \int_{-2}^{2}\frac{e^{-x}}{\sqrt{x+2}}\text dx $ convergent?

how to prove the following improper integral is diverging $\int_{\pi/2}^{\infty}\left |\frac{\cos(x)}{x+\sin(x)} \right | dx $

Compute $\int_{0}^{1}\frac{\arcsin(x)\ln(1-x)}{x\sqrt{1-x^2}}dx$

Is this proof of the following integrals fine $\int_{0}^{1} \frac{\ln(1+x)}{x} dx$?

Evaluate $\int_{0}^{\infty} \frac{x}{1+e^x}dx$

How would one prove the existence of the following indefinite integral

Hyperbolic tangent expansion in temperature

Trick to solve an improper integral

Solving: $\int_{-\infty}^{+\infty}e^{-2i\pi xy-\pi x^2/r^2}dx$

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