Question

Evaluation of a complex integral using Residue Theorem

score 56 · Answer 1 · 2023-04-30 20:54:44

56

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Evaluation of a complex integral using Residue Theorem

Published on 30 Apr 2023 - 20:54

score 140 · Answer 2 · 2023-05-03 09:00:09

140

Views

Does $i*\arcsin(x) = \operatorname{arccosh}(x)$

Published on 03 May 2023 - 9:00

score 66 · Answer 3 · 2023-05-13 14:02:57

66

Views

A series equal to $\pi G-\frac{7}{4}\zeta(3)$

Published on 13 May 2023 - 14:02

score 194 · Answer 4 · 2023-05-15 01:50:46

194

Views

Is there any simple method to evaluate $\int \frac{\tan (3 x)}{\tan(x)+\sec(x)} d x$?

Published on 15 May 2023 - 1:50

score 113 · Answer 5 · 2023-05-16 03:17:41

113

Views

Is there any other method to evaluate the integral $\int_{\frac{1}{a}}^a \sin \left(x-\frac{1}{x}\right) \sinh \left(x-\frac{1}{x}\right) d x$?

Published on 16 May 2023 - 3:17

score 124 · Answer 6 · 2026-03-26 07:33:14

124

Views

Inverse function of $x \mapsto \coth x - 1/x$

Published on 26 Mar 2026 - 7:33

score 25 · Answer 7 · 2023-05-22 14:33:35

25

Views

exponential function and hyperbolic function inequality

Published on 22 May 2023 - 14:33

score 92 · Answer 8 · 2026-03-26 01:03:32

92

Views

Iterating $\tanh(A x)$ and $\lim_{x \to +\infty} \tanh^{[r]}(A x) = C_r$?

Published on 26 Mar 2026 - 1:03

score 239 · Answer 9 · 2023-05-29 17:12:12

239

Views

Evaluating $\int_{-\infty}^{+\infty}\frac{\sin{(\cosh{x})}\cosh{x}}{1+\cosh^{2}{x}}dx$

Published on 29 May 2023 - 17:12

score 105 · Answer 10 · 2026-03-25 11:14:57

105

Views

Evaluate $ \int\limits_0^{+\infty} x \tanh^{-1}\left(\frac{k x}{a}\right) \exp\left(-\frac{x^2}{b}\right) dx $

Published on 25 Mar 2026 - 11:14

score 34 · Answer 11 · 2023-06-06 08:19:04

34

Views

Calculating an infinite sum involving hyperbolic functions

Published on 06 Jun 2023 - 8:19

score 37 · Answer 12 · 2023-06-13 14:54:44

37

Views

I found that Im(arcsin(R))=-arccosh(R). Is this true?

Published on 13 Jun 2023 - 14:54

score 43 · Answer 13 · 2023-06-28 15:10:50

43

Views

Solution of integrals as Hyperbolic functions

Published on 28 Jun 2023 - 15:10

score 38 · Answer 14 · 2026-03-26 22:55:35

38

Views

If i want to calculate the length of a hanging chain given three heights, how do i iteratively find the correct tension factor?

Published on 26 Mar 2026 - 22:55

score 70 · Answer 15 · 2023-06-30 14:16:02

How to calculate the limit $\lim_{x\rightarrow 0}k^2\operatorname{csch}^2(kx)-\frac{1}{4}\operatorname{csch}^2\left(\frac{x}{2}\right)$？

List Question

Evaluation of a complex integral using Residue Theorem

Does $i*\arcsin(x) = \operatorname{arccosh}(x)$

A series equal to $\pi G-\frac{7}{4}\zeta(3)$

Is there any simple method to evaluate $\int \frac{\tan (3 x)}{\tan(x)+\sec(x)} d x$?

Is there any other method to evaluate the integral $\int_{\frac{1}{a}}^a \sin \left(x-\frac{1}{x}\right) \sinh \left(x-\frac{1}{x}\right) d x$?

Inverse function of $x \mapsto \coth x - 1/x$

exponential function and hyperbolic function inequality

Iterating $\tanh(A x)$ and $\lim_{x \to +\infty} \tanh^{[r]}(A x) = C_r$?

Evaluating $\int_{-\infty}^{+\infty}\frac{\sin{(\cosh{x})}\cosh{x}}{1+\cosh^{2}{x}}dx$

Evaluate $ \int\limits_0^{+\infty} x \tanh^{-1}\left(\frac{k x}{a}\right) \exp\left(-\frac{x^2}{b}\right) dx $

Calculating an infinite sum involving hyperbolic functions

I found that Im(arcsin(R))=-arccosh(R). Is this true?

Solution of integrals as Hyperbolic functions

If i want to calculate the length of a hanging chain given three heights, how do i iteratively find the correct tension factor?

How to calculate the limit $\lim_{x\rightarrow 0}k^2\operatorname{csch}^2(kx)-\frac{1}{4}\operatorname{csch}^2\left(\frac{x}{2}\right)$？

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