Question

Does this integral converge or diverge? Can you help me to integrate this?

score 188 · Answer 1 · 2018-07-01 09:30:22

188

Views

Does this integral converge or diverge? Can you help me to integrate this?

Published on 01 Jul 2018 - 9:30

score 93 · Answer 2 · 2018-07-01 15:01:34

93

Views

Show that $\int_{-\infty}^{\infty}(1+\frac{x^2}{n})^{-n}dx\rightarrow \int_{-\infty}^{\infty} e^{-x^2}dx$

Published on 01 Jul 2018 - 15:01

score 497 · Answer 3 · 2018-07-02 04:58:27

497

Views

Improper Integral - Partial Fractions or a Trick?

Published on 02 Jul 2018 - 4:58

score 250 · Answer 4 · 2026-03-26 06:15:12

250

Views

How does partition of unity imply that for a compact $D$, there is only finitely many $ \operatorname{Support}\phi_i$ that intersect with $D$?

Published on 26 Mar 2026 - 6:15

score 239 · Answer 5 · 2026-03-26 17:52:56

239

Views

Calculating $\lim \limits_{n \to \infty} \int_ {-\infty}^\infty e^{-x^2}\cos(nx)\, dx$

Published on 26 Mar 2026 - 17:52

score 788 · Answer 6 · 2018-07-02 18:07:51

788

Views

Arctangent integral that I'm having difficulty on

Published on 02 Jul 2018 - 18:07

score 259 · Answer 7 · 2018-07-04 14:16:26

259

Views

Without calculating the integral, prove that this is true

Published on 04 Jul 2018 - 14:16

score 72 · Answer 8 · 2026-03-25 20:08:17

72

Views

An integral relation of gamma function

Published on 25 Mar 2026 - 20:08

score 159 · Answer 9 · 2026-03-27 02:08:26

159

Views

Solve a special integral when its parameter is positive

Published on 27 Mar 2026 - 2:08

score 1.8k · Answer 10 · 2018-07-05 19:20:48

1.8k

Views

Finding integral $\int_{0}^{\infty} \frac{x^{\alpha}\log{x}}{1-x^2}dx$ using complex analysis - residues

Published on 05 Jul 2018 - 19:20

score 162 · Answer 11 · 2018-07-06 04:59:57

162

Views

Evaluate $\int_0^{\infty}\frac{\ln(x+\frac{1}{x})}{1+x^2}\cdot dx$

Published on 06 Jul 2018 - 4:59

score 251 · Answer 12 · 2026-03-26 01:07:47

251

Views

Evaluating $\int_{0}^{\infty} e^{-(x^{n}-x)}\, \mathrm{d}x,\quad n>0$

Published on 26 Mar 2026 - 1:07

score 215 · Answer 13 · 2026-03-26 01:34:50

215

Views

(possibly indefinite) integral of product of error functions

Published on 26 Mar 2026 - 1:34

score 1.3k · Answer 14 · 2026-03-26 07:51:44

1.3k

Views

Proving that $f(x,y) = \frac{1}{x^2 + y^2}$ is not integrable both on $B^2 - \vec 0$, and $\mathbb{R}^2 - \bar B^2$

Published on 26 Mar 2026 - 7:51

score 129 · Answer 15 · 2026-03-26 07:50:52

129

Views

Is $\int_{\infty}^{\infty^2} f(t) dt$ always $0$?

Published on 26 Mar 2026 - 7:50

List Question

Does this integral converge or diverge? Can you help me to integrate this?

Show that $\int_{-\infty}^{\infty}(1+\frac{x^2}{n})^{-n}dx\rightarrow \int_{-\infty}^{\infty} e^{-x^2}dx$

Improper Integral - Partial Fractions or a Trick?

How does partition of unity imply that for a compact $D$, there is only finitely many $ \operatorname{Support}\phi_i$ that intersect with $D$?

Calculating $\lim \limits_{n \to \infty} \int_ {-\infty}^\infty e^{-x^2}\cos(nx)\, dx$

Arctangent integral that I'm having difficulty on

Without calculating the integral, prove that this is true

An integral relation of gamma function

Solve a special integral when its parameter is positive

Finding integral $\int_{0}^{\infty} \frac{x^{\alpha}\log{x}}{1-x^2}dx$ using complex analysis - residues

Evaluate $\int_0^{\infty}\frac{\ln(x+\frac{1}{x})}{1+x^2}\cdot dx$

Evaluating $\int_{0}^{\infty} e^{-(x^{n}-x)}\, \mathrm{d}x,\quad n>0$

(possibly indefinite) integral of product of error functions

Proving that $f(x,y) = \frac{1}{x^2 + y^2}$ is not integrable both on $B^2 - \vec 0$, and $\mathbb{R}^2 - \bar B^2$

Is $\int_{\infty}^{\infty^2} f(t) dt$ always $0$?

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