Question

Integrate $\int_{0}^\infty \frac{\tanh(x)}{x^3}-\frac{\operatorname{sech}(x)}{x^2}dx$

score 393 · Answer 1 · 2019-09-04 19:43:44

393

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Integrate $\int_{0}^\infty \frac{\tanh(x)}{x^3}-\frac{\operatorname{sech}(x)}{x^2}dx$

Published on 04 Sep 2019 - 19:43

score 35 · Answer 2 · 2026-03-29 06:29:14

35

Views

Differentiation of Function Defined as Integral of Multiple Variables

Published on 29 Mar 2026 - 6:29

score 46 · Answer 3 · 2019-09-08 23:57:30

46

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Find $s$ so the integral converges

Published on 08 Sep 2019 - 23:57

score 56 · Answer 4 · 2019-09-10 12:23:23

56

Views

Is this equation with integrals true? If it is, how?

Published on 10 Sep 2019 - 12:23

score 93 · Answer 5 · 2026-03-27 16:46:20

93

Views

Help computing a double integral on $|x-y|$

Published on 27 Mar 2026 - 16:46

score 226 · Answer 6 · 2026-03-28 03:03:06

226

Views

How to evaluate the integral $ \int_0^\infty \frac{\sin(\omega\tau)\sin(\omega y)\sinh\,(\omega x)}{\sinh(\omega a)} \,d\omega$

Published on 28 Mar 2026 - 3:03

score 74 · Answer 7 · 2019-09-12 17:50:38

74

Views

How is this improper integral solved?

Published on 12 Sep 2019 - 17:50

score 485 · Answer 8 · 2019-09-14 08:00:19

Let $~f~$ be a non-negative continuous function on $~\mathbb{R}~$ such that $~\int_{0}^{∞} f(x)~dx~$ is finite,then $~\lim_{x\to ∞} f(x) = 0~$.

score 52 · Answer 9 · 2019-09-15 11:38:12

52

Views

For which values of $m,n \in \mathbb{Z}$ the integral $\int_2^{\infty} \frac{(x-2)^m \arctan(x)}{(x-1)^n} dx $ converges?

Published on 15 Sep 2019 - 11:38

score 60 · Answer 10 · 2019-09-15 15:01:37

60

Views

Continuity of the function $f(x)=\int_{1}^{\infty}\frac{\cos t}{x^2+t^2}dt.$

Published on 15 Sep 2019 - 15:01

score 30 · Answer 11 · 2019-09-15 19:40:04

30

Views

Convergence of integral at different values of $p$

Published on 15 Sep 2019 - 19:40

score 3.4k · Answer 12 · 2019-09-16 16:51:17

3.4k

Views

Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$

Published on 16 Sep 2019 - 16:51

score 35 · Answer 13 · 2019-09-16 18:59:26

35

Views

Evaluate the integral of a symmetric function excluding a interval of numbers

Published on 16 Sep 2019 - 18:59

score 203 · Answer 14 · 2019-09-17 10:35:20

203

Views

Using the Euler-Poisson integral, prove the identity

Published on 17 Sep 2019 - 10:35

score 113 · Answer 15 · 2019-09-17 12:57:01

113

Views

Analytic solution to integral with exponentiated logarithm squared

Published on 17 Sep 2019 - 12:57

List Question

Integrate $\int_{0}^\infty \frac{\tanh(x)}{x^3}-\frac{\operatorname{sech}(x)}{x^2}dx$

Differentiation of Function Defined as Integral of Multiple Variables

Find $s$ so the integral converges

Is this equation with integrals true? If it is, how?

Help computing a double integral on $|x-y|$

How to evaluate the integral $ \int_0^\infty \frac{\sin(\omega\tau)\sin(\omega y)\sinh\,(\omega x)}{\sinh(\omega a)} \,d\omega$

How is this improper integral solved?

Let $~f~$ be a non-negative continuous function on $~\mathbb{R}~$ such that $~\int_{0}^{∞} f(x)~dx~$ is finite,then $~\lim_{x\to ∞} f(x) = 0~$.

For which values of $m,n \in \mathbb{Z}$ the integral $\int_2^{\infty} \frac{(x-2)^m \arctan(x)}{(x-1)^n} dx $ converges?

Continuity of the function $f(x)=\int_{1}^{\infty}\frac{\cos t}{x^2+t^2}dt.$

Convergence of integral at different values of $p$

Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$

Evaluate the integral of a symmetric function excluding a interval of numbers

Using the Euler-Poisson integral, prove the identity

Analytic solution to integral with exponentiated logarithm squared

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