Question

$\int_1^\infty 1/\sqrt{1+e^x}dx$

score 157 · Answer 1 · 2026-04-16 12:11:56

157

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$\int_1^\infty 1/\sqrt{1+e^x}dx$

Published on 16 Apr 2026 - 12:11

score 1.3k · Answer 2 · 2026-04-16 13:10:10

1.3k

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Improper integral $\int_0^\infty \frac{\sin(x)}{x}dx$ - Showing convergence.

Published on 16 Apr 2026 - 13:10

score 332 · Answer 3 · 2026-04-14 19:31:31

332

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Space of all improper Riemann-integrable functions not closed under products and other operations

Published on 14 Apr 2026 - 19:31

score 5.1k · Answer 4 · 2026-04-16 19:56:09

5.1k

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Prove convergence of $\int_1^\infty \frac 1 {x(\sqrt x + 1)} dx$

Published on 16 Apr 2026 - 19:56

score 65 · Answer 5 · 2026-04-16 04:20:41

65

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Identities for integral expressions like $\frac{\int_0^\infty a(x)f(x)dx}{\int_0^\infty a(x)g(x)dx}$

Published on 16 Apr 2026 - 4:20

score 5.4k · Answer 6 · 2026-04-16 23:21:34

5.4k

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Estimating the value of an improper integral numerically

Published on 16 Apr 2026 - 23:21

score 910 · Answer 7 · 2026-04-17 14:38:21

910

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Evaluate the integral by type1 or type 2

Published on 17 Apr 2026 - 14:38

score 94 · Answer 8 · 2026-04-09 19:53:47

94

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The proof of the integral test using the contradiction method.

Published on 09 Apr 2026 - 19:53

score 4.3k · Answer 9 · 2026-04-13 18:53:36

4.3k

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How to integrate $\int_0^{\infty} \frac{e^{ax} - e^{bx}}{(1 + e^{ax})(1+ e^{bx})}dx$ where $a,b > 0$.

Published on 13 Apr 2026 - 18:53

score 92 · Answer 10 · 2026-04-15 07:30:11

92

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Calculate integral $\int_0^\infty e^{-x} (e^{-\frac a b x} - 1)^{b} dx$ for $b>0$ and any $a \in \mathbb{R}$

Published on 15 Apr 2026 - 7:30

score 2.7k · Answer 11 · 2026-03-25 20:36:01

2.7k

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Find the Principal Value of the integral $\int_{-\infty}^\infty \frac{x \sin(x)}{x^2+2x+2}\,dx$

Published on 25 Mar 2026 - 20:36

score 422 · Answer 12 · 2026-04-11 21:11:30

422

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How to calculate this Ei(x)-involved definite integral?

Published on 11 Apr 2026 - 21:11

score 65 · Answer 13 · 2026-04-11 00:00:34

65

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Improper integral existence exercise

Published on 11 Apr 2026 - 0:00

score 102 · Answer 14 · 2026-04-10 06:31:56

102

Views

HowTo solve this integral involving logarithm

Published on 10 Apr 2026 - 6:31

score 226 · Answer 15 · 2026-04-15 16:16:31

226

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A particular integral: $\int_{-\infty}^{+\infty}\frac{\sin(\pi x)}{\prod_{k=-n}^{n}(x-k)}\,dx$

Published on 15 Apr 2026 - 16:16

List Question

$\int_1^\infty 1/\sqrt{1+e^x}dx$

Improper integral $\int_0^\infty \frac{\sin(x)}{x}dx$ - Showing convergence.

Space of all improper Riemann-integrable functions not closed under products and other operations

Prove convergence of $\int_1^\infty \frac 1 {x(\sqrt x + 1)} dx$

Identities for integral expressions like $\frac{\int_0^\infty a(x)f(x)dx}{\int_0^\infty a(x)g(x)dx}$

Estimating the value of an improper integral numerically

Evaluate the integral by type1 or type 2

The proof of the integral test using the contradiction method.

How to integrate $\int_0^{\infty} \frac{e^{ax} - e^{bx}}{(1 + e^{ax})(1+ e^{bx})}dx$ where $a,b > 0$.

Calculate integral $\int_0^\infty e^{-x} (e^{-\frac a b x} - 1)^{b} dx$ for $b>0$ and any $a \in \mathbb{R}$

Find the Principal Value of the integral $\int_{-\infty}^\infty \frac{x \sin(x)}{x^2+2x+2}\,dx$

How to calculate this Ei(x)-involved definite integral?

Improper integral existence exercise

HowTo solve this integral involving logarithm

A particular integral: $\int_{-\infty}^{+\infty}\frac{\sin(\pi x)}{\prod_{k=-n}^{n}(x-k)}\,dx$

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