Question

alternative definition of improper Riemann integral

score 117 · Answer 1 · 2018-05-09 12:19:42

117

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alternative definition of improper Riemann integral

Published on 09 May 2018 - 12:19

score 173 · Answer 2 · 2018-05-09 15:13:42

173

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I need help evaluating the following improper integral

Published on 09 May 2018 - 15:13

score 794 · Answer 3 · 2018-05-10 03:58:12

794

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Riemann Sums with non-Riemann-integrable functions.

Published on 10 May 2018 - 3:58

score 104 · Answer 4 · 2018-05-10 17:21:12

104

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If $f:\Bbb{R}\to\Bbb{R}$ be a monotone decreasing function, $f(x)\to 0$ as $x\to+\infty$. Prove,$\sum f(n)$ converges if $\int_1^\infty f $converges

Published on 10 May 2018 - 17:21

score 334 · Answer 5 · 2018-05-11 06:37:14

334

Views

Integrals with crazy substitutions.

Published on 11 May 2018 - 6:37

score 114 · Answer 6 · 2018-05-11 09:04:08

114

Views

Does the improper integral $\int_0^\infty \sin x$ converge?

Published on 11 May 2018 - 9:04

score 95 · Answer 7 · 2018-05-11 14:02:17

95

Views

Calculus Improper Integral

Published on 11 May 2018 - 14:02

score 326 · Answer 8 · 2026-03-26 01:07:46

326

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Does Lebesgue integrability imply improper Riemann integrability for positive, a.e. continuous functions?

Published on 26 Mar 2026 - 1:07

score 180 · Answer 9 · 2026-03-25 17:52:09

180

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"Correct antiderivative" for the integral $\int 2e^{\tan^{-1}x+x^2+\ln x}\left(2+\frac{2x^3+2x+1}{x+1/x}\right) dx$

Published on 25 Mar 2026 - 17:52

score 153 · Answer 10 · 2018-05-12 03:01:16

153

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Discontinuous integral $\frac1{2\pi i}\int_{c-i \infty}^{c+i\infty}y^s\frac{ds}{s}$

Published on 12 May 2018 - 3:01

score 199 · Answer 11 · 2026-03-26 14:21:13

199

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Use residues to evaluate the improper integral $\int_0^\infty\frac{x^3\sin(x)}{(x^2+4)(x^2+16)}dx$

Published on 26 Mar 2026 - 14:21

score 132 · Answer 12 · 2018-05-13 00:50:09

132

Views

Calculate $\int_{-\infty}^{\infty} \frac{\sin(mx)}{x(a^2+x^2)} dx$

Published on 13 May 2018 - 0:50

score 66 · Answer 13 · 2018-05-13 12:08:50

66

Views

Closed form for the improper integral $\int_0^{+\infty} \exp\left(-\frac{y\lambda}{a_1 - a_2y} - \mu h\right)\mathrm dh$

Published on 13 May 2018 - 12:08

score 105 · Answer 14 · 2018-05-14 07:31:45

105

Views

For what values of ''$a$'' , does this Improper Integral converges?

Published on 14 May 2018 - 7:31

score 36 · Answer 15 · 2018-05-14 10:44:50

36

Views

How to do this integration

Published on 14 May 2018 - 10:44

List Question

alternative definition of improper Riemann integral

I need help evaluating the following improper integral

Riemann Sums with non-Riemann-integrable functions.

If $f:\Bbb{R}\to\Bbb{R}$ be a monotone decreasing function, $f(x)\to 0$ as $x\to+\infty$. Prove,$\sum f(n)$ converges if $\int_1^\infty f $converges

Integrals with crazy substitutions.

Does the improper integral $\int_0^\infty \sin x$ converge?

Calculus Improper Integral

Does Lebesgue integrability imply improper Riemann integrability for positive, a.e. continuous functions?

"Correct antiderivative" for the integral $\int 2e^{\tan^{-1}x+x^2+\ln x}\left(2+\frac{2x^3+2x+1}{x+1/x}\right) dx$

Discontinuous integral $\frac1{2\pi i}\int_{c-i \infty}^{c+i\infty}y^s\frac{ds}{s}$

Use residues to evaluate the improper integral $\int_0^\infty\frac{x^3\sin(x)}{(x^2+4)(x^2+16)}dx$

Calculate $\int_{-\infty}^{\infty} \frac{\sin(mx)}{x(a^2+x^2)} dx$

Closed form for the improper integral $\int_0^{+\infty} \exp\left(-\frac{y\lambda}{a_1 - a_2y} - \mu h\right)\mathrm dh$

For what values of ''$a$'' , does this Improper Integral converges?

How to do this integration

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