Question

Improper integral involving sinc function and Pochhammer symbol

score 179 · Answer 1 · 2026-05-02 03:13:07

179

Views

Improper integral involving sinc function and Pochhammer symbol

Published on 02 May 2026 - 3:13

score 175 · Answer 2 · 2026-04-15 13:39:32

175

Views

Find the values of $\alpha$ for which the improper integral $\iint_Df_\alpha(x,y)dxdy$ exists

Published on 15 Apr 2026 - 13:39

score 49 · Answer 3 · 2026-04-12 19:03:12

49

Views

Is this function bounded? (Order of explosion of a function)

Published on 12 Apr 2026 - 19:03

score 47 · Answer 4 · 2026-04-13 16:08:41

47

Views

What is $\int_1^\infty du/u - \int_1^\infty du/u$?

Published on 13 Apr 2026 - 16:08

score 223 · Answer 5 · 2026-04-18 04:32:16

223

Views

Prove that $\lim_{\ r\ \to \ \infty} \dfrac{r! r^x}{x(x+1)(x+2) \dots (x+r)} = \int_{0}^{\infty} t^{x-1} e^{-t} dt $

Published on 18 Apr 2026 - 4:32

score 300 · Answer 6 · 2026-04-14 15:45:12

300

Views

Convergence of an improper integral with a parameter

Published on 14 Apr 2026 - 15:45

score 146 · Answer 7 · 2026-04-16 19:37:21

146

Views

Integral of Exponential raised by exponential: $\int_{-\infty}^{\infty}\mathrm{d}x(1-\exp[\frac{-b}{\sqrt{2\pi}a}\exp(-\frac{x^2}{2a^2})]).$

Published on 16 Apr 2026 - 19:37

score 84 · Answer 8 · 2026-04-14 18:44:20

84

Views

Show that $\int_{0}^{\infty} \int_{0}^{\infty} e^{-s(x+y)}f(x)g(y) \ dx \ dy = \int_{0}^{\infty} \int_{0}^{t} e^{-st}f(t-u)g(u) \ du \ dt$.

Published on 14 Apr 2026 - 18:44

score 160 · Answer 9 · 2026-03-27 18:05:48

160

Views

Beta function. What is wrong? Misunderstanding.

Published on 27 Mar 2026 - 18:05

score 84 · Answer 10 · 2026-04-15 14:30:51

84

Views

Double integral of the following Exponential

Published on 15 Apr 2026 - 14:30

score 4.2k · Answer 11 · 2026-04-12 21:44:33

4.2k

Views

Convergence of Riemann sums for improper integrals

Published on 12 Apr 2026 - 21:44

score 382 · Answer 12 · 2026-04-11 16:49:38

382

Views

Convergence Of an Integral.

Published on 11 Apr 2026 - 16:49

score 113 · Answer 13 · 2026-04-15 21:39:06

113

Views

Does $\int _1 ^\infty\frac {f(x)} x\,dx$ converge or diverge?

Published on 15 Apr 2026 - 21:39

score 67 · Answer 14 · 2026-04-16 10:47:53

67

Views

Improper convergence of $ \cos(x)/{x^{1/2}} $

Published on 16 Apr 2026 - 10:47

score 43 · Answer 15 · 2026-04-15 19:09:07

43

Views

Is this improper integral $\int_e^\infty \frac{dt}{t^a \log^b (t)}$ convergent?

Published on 15 Apr 2026 - 19:09

List Question

Improper integral involving sinc function and Pochhammer symbol

Find the values of $\alpha$ for which the improper integral $\iint_Df_\alpha(x,y)dxdy$ exists

Is this function bounded? (Order of explosion of a function)

What is $\int_1^\infty du/u - \int_1^\infty du/u$?

Prove that $\lim_{\ r\ \to \ \infty} \dfrac{r! r^x}{x(x+1)(x+2) \dots (x+r)} = \int_{0}^{\infty} t^{x-1} e^{-t} dt $

Convergence of an improper integral with a parameter

Integral of Exponential raised by exponential: $\int_{-\infty}^{\infty}\mathrm{d}x(1-\exp[\frac{-b}{\sqrt{2\pi}a}\exp(-\frac{x^2}{2a^2})]).$

Show that $\int_{0}^{\infty} \int_{0}^{\infty} e^{-s(x+y)}f(x)g(y) \ dx \ dy = \int_{0}^{\infty} \int_{0}^{t} e^{-st}f(t-u)g(u) \ du \ dt$.

Beta function. What is wrong? Misunderstanding.

Double integral of the following Exponential

Convergence of Riemann sums for improper integrals

Convergence Of an Integral.

Does $\int _1 ^\infty\frac {f(x)} x\,dx$ converge or diverge?

Improper convergence of $ \cos(x)/{x^{1/2}} $

Is this improper integral $\int_e^\infty \frac{dt}{t^a \log^b (t)}$ convergent?

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