Question

Find values of $p>0$ so that the integral converges.

score 408 · Answer 1 · 2018-04-25 16:51:26

408

Views

Find values of $p>0$ so that the integral converges.

Published on 25 Apr 2018 - 16:51

score 232 · Answer 2 · 2018-04-25 18:52:42

232

Views

Can I take integral of a domain my function is not well defined?

Published on 25 Apr 2018 - 18:52

score 279 · Answer 3 · 2026-03-25 14:39:50

279

Views

Reference for cool exercises on Integrals

Published on 25 Mar 2026 - 14:39

score 171 · Answer 4 · 2018-04-28 22:48:46

171

Views

Show that $ \int_{-∞}^{∞} \frac{x}{x^2 + 1}dx $ converges

Published on 28 Apr 2018 - 22:48

score 588 · Answer 5 · 2018-04-29 13:07:43

588

Views

Improper integral converges then there exists a sequence $x_n\to \infty$ such that $f(x_n)\to 0$.

Published on 29 Apr 2018 - 13:07

score 39 · Answer 6 · 2018-04-29 17:45:29

39

Views

Let $g$ be a differentiable, nonnegative and decreasing function on $(0,\infty)$. Then $\int_k^{\infty} \, g(x) \, dx \approx 0$

Published on 29 Apr 2018 - 17:45

score 68 · Answer 7 · 2018-04-30 05:51:23

68

Views

Thoughts concerning $\int_{\infty}^{\infty} \, f(x) \, dx = 0$

Published on 30 Apr 2018 - 5:51

score 114 · Answer 8 · 2018-04-30 16:35:55

114

Views

Computing a derivative from a function that involves an integral

Published on 30 Apr 2018 - 16:35

score 305 · Answer 9 · 2018-04-30 23:36:29

305

Views

Calculate $\int_0^{\infty } \left(x-\log \left(e^x-x\right)\right) \, dx$

Published on 30 Apr 2018 - 23:36

score 79 · Answer 10 · 2018-05-01 11:13:44

79

Views

How to transform $- \int_{0}^{\infty} \ln(1 - x e^{-x}) \ \mathrm{d}x$ into $\sum_{n=1}^{\infty} \frac{n!}{n^{n+2}}$?

Published on 01 May 2018 - 11:13

score 320 · Answer 11 · 2018-05-01 16:53:36

320

Views

Proving divergence of $\int_1^{\infty}e^{-\arctan(x)}\ \mathrm{d}x$

Published on 01 May 2018 - 16:53

score 54 · Answer 12 · 2018-05-01 18:02:31

54

Views

compute a integral value given another integral value

Published on 01 May 2018 - 18:02

score 81 · Answer 13 · 2018-05-01 18:45:44

81

Views

Evaluating the difficult limit $\lim_{x\to 0^+} x \int^1_x \frac{f(t)}{\sin^2t}dt$

Published on 01 May 2018 - 18:45

score 159 · Answer 14 · 2026-03-25 23:37:43

159

Views

Uniform convergence and improper Riemann integral of the second kind

Published on 25 Mar 2026 - 23:37

score 41 · Answer 15 · 2018-05-03 08:18:00

41

Views

Show that if $n \in \mathbb{N}, \int_{-1}^{1} \frac{1}{t^n}dt$ does not converge

Published on 03 May 2018 - 8:18

List Question

Find values of $p>0$ so that the integral converges.

Can I take integral of a domain my function is not well defined?

Reference for cool exercises on Integrals

Show that $ \int_{-∞}^{∞} \frac{x}{x^2 + 1}dx $ converges

Improper integral converges then there exists a sequence $x_n\to \infty$ such that $f(x_n)\to 0$.

Let $g$ be a differentiable, nonnegative and decreasing function on $(0,\infty)$. Then $\int_k^{\infty} \, g(x) \, dx \approx 0$

Thoughts concerning $\int_{\infty}^{\infty} \, f(x) \, dx = 0$

Computing a derivative from a function that involves an integral

Calculate $\int_0^{\infty } \left(x-\log \left(e^x-x\right)\right) \, dx$

How to transform $- \int_{0}^{\infty} \ln(1 - x e^{-x}) \ \mathrm{d}x$ into $\sum_{n=1}^{\infty} \frac{n!}{n^{n+2}}$?

Proving divergence of $\int_1^{\infty}e^{-\arctan(x)}\ \mathrm{d}x$

compute a integral value given another integral value

Evaluating the difficult limit $\lim_{x\to 0^+} x \int^1_x \frac{f(t)}{\sin^2t}dt$

Uniform convergence and improper Riemann integral of the second kind

Show that if $n \in \mathbb{N}, \int_{-1}^{1} \frac{1}{t^n}dt$ does not converge

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