Question

convergence test for improper integral of a function, where some part of the integral range, the function is not defined?

score 14 · Answer 1 · 2020-04-05 13:47:05

14

Views

convergence test for improper integral of a function, where some part of the integral range, the function is not defined?

Published on 05 Apr 2020 - 13:47

score 88 · Answer 2 · 2020-04-05 16:25:49

88

Views

Improper integral $ \int_a^b \frac{\sqrt{x-a}}{\sqrt{b-x}}dx $

Published on 05 Apr 2020 - 16:25

score 145 · Answer 3 · 2020-04-05 18:10:49

145

Views

Does $\int\limits^\pi_1\frac{\sin\left(\frac{1}{\cos x}\right)}{\sqrt{x} }dx$ converge or diverge?

Published on 05 Apr 2020 - 18:10

score 1.7k · Answer 4 · 2026-03-30 13:37:35

1.7k

Views

convergence of $\int_{0}^{\infty} x^{n-1}e^{-x}dx$ (Gamma function)

Published on 30 Mar 2026 - 13:37

score 153 · Answer 5 · 2020-04-05 18:39:44

153

Views

Under what conditions for $f$ does $\lim_{T \to \infty} \frac{1}{T} \int_0^T f(s) ds$ exist?

Published on 05 Apr 2020 - 18:39

score 153 · Answer 6 · 2020-04-05 20:27:53

153

Views

At what values of $\alpha$ and $\beta$ does $\int_0^1x^\alpha(1-x)^\beta \ln xdx$ converge?

Published on 05 Apr 2020 - 20:27

score 179 · Answer 7 · 2020-04-06 03:19:04

179

Views

Is $\int_0^\infty\frac{\arctan x}{\sqrt{x^3+x}}dx$ converges/diverges

Published on 06 Apr 2020 - 3:19

score 127 · Answer 8 · 2026-03-26 11:06:16

127

Views

Integrating shifted Gaussian and a polynomial function

Published on 26 Mar 2026 - 11:06

score 56 · Answer 9 · 2020-04-06 08:28:12

56

Views

Prove, or disprove, $\int_{1}^{\infty} |f(x)|dx$ converge $\Longrightarrow \lim_{x\to\infty} f(x)/x=0$

Published on 06 Apr 2020 - 8:28

score 108 · Answer 10 · 2020-04-06 14:03:59

108

Views

integral of $ \int_{-\infty}^\infty e^{-x^2}\cos(2x^2)dx$

Published on 06 Apr 2020 - 14:03

score 306 · Answer 11 · 2020-04-06 18:16:01

306

Views

Prove that $\int_a^\infty f(x)\sin(e^x) \, dx$ conditionally converges.

Published on 06 Apr 2020 - 18:16

score 134 · Answer 12 · 2026-03-26 13:01:25

134

Views

Analytically solving (finding a maxima) a system of equations involving PolyLog functions (Fermi-Dirac Integrals)

Published on 26 Mar 2026 - 13:01

score 212 · Answer 13 · 2020-04-07 08:14:30

212

Views

Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Published on 07 Apr 2020 - 8:14

score 241 · Answer 14 · 2020-04-07 10:27:01

241

Views

Prove that $\int_{a}^{\infty}|f(x)\sin(e^x)|$ diverges

Published on 07 Apr 2020 - 10:27

score 150 · Answer 15 · 2020-04-07 13:59:28

150

Views

Is every function that is continuous and bounded on a certain interval, is integrable in that interval?

Published on 07 Apr 2020 - 13:59

List Question

convergence test for improper integral of a function, where some part of the integral range, the function is not defined?

Improper integral $ \int_a^b \frac{\sqrt{x-a}}{\sqrt{b-x}}dx $

Does $\int\limits^\pi_1\frac{\sin\left(\frac{1}{\cos x}\right)}{\sqrt{x} }dx$ converge or diverge?

convergence of $\int_{0}^{\infty} x^{n-1}e^{-x}dx$ (Gamma function)

Under what conditions for $f$ does $\lim_{T \to \infty} \frac{1}{T} \int_0^T f(s) ds$ exist?

At what values of $\alpha$ and $\beta$ does $\int_0^1x^\alpha(1-x)^\beta \ln xdx$ converge?

Is $\int_0^\infty\frac{\arctan x}{\sqrt{x^3+x}}dx$ converges/diverges

Integrating shifted Gaussian and a polynomial function

Prove, or disprove, $\int_{1}^{\infty} |f(x)|dx$ converge $\Longrightarrow \lim_{x\to\infty} f(x)/x=0$

integral of $ \int_{-\infty}^\infty e^{-x^2}\cos(2x^2)dx$

Prove that $\int_a^\infty f(x)\sin(e^x) \, dx$ conditionally converges.

Analytically solving (finding a maxima) a system of equations involving PolyLog functions (Fermi-Dirac Integrals)

Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Prove that $\int_{a}^{\infty}|f(x)\sin(e^x)|$ diverges

Is every function that is continuous and bounded on a certain interval, is integrable in that interval?

Trending Questions

Popular # Hahtags

Popular Questions