Question

Is it right to ignore the negative result in the derivation of the inverse hyperbolic cosine function?

score 992 · Answer 1 · 2020-07-01 13:11:59

992

Views

Is it right to ignore the negative result in the derivation of the inverse hyperbolic cosine function?

Published on 01 Jul 2020 - 13:11

score 65 · Answer 2 · 2020-07-01 21:27:02

65

Views

Is this proof sufficient?

Published on 01 Jul 2020 - 21:27

score 69 · Answer 3 · 2020-07-01 23:05:28

69

Views

Is this proof valid?

Published on 01 Jul 2020 - 23:05

score 114 · Answer 4 · 2020-07-06 10:51:15

114

Views

How to prove that $f(x)-x f'(x)\neq 0$?

Published on 06 Jul 2020 - 10:51

score 144 · Answer 5 · 2020-07-14 15:15:28

144

Views

sum of hyperbolic sine and hyperbolic tangent

Published on 14 Jul 2020 - 15:15

score 56 · Answer 6 · 2020-07-16 20:13:50

56

Views

Identities involving hyperbolic functions.

Published on 16 Jul 2020 - 20:13

score 828 · Answer 7 · 2020-07-29 19:58:10

828

Views

Precise value of $\coth(x)$ for large values of $x$?

Published on 29 Jul 2020 - 19:58

score 202 · Answer 8 · 2020-07-30 02:32:37

202

Views

How can we arrive at the approximation $\tanh (x)\approx 1-e^{-2 a}$, for $x^2=a^2+\delta$ with $a>1$ and $\delta\to 0$?

Published on 30 Jul 2020 - 2:32

score 378 · Answer 9 · 2016-07-11 14:41:52

378

Views

Can you help me to evaluate $\int_{-\infty}^\infty\frac{x^2}{-1+\cosh (2x)}dx$ as $\pi^2/6$? And do you find a similar integral for $\zeta(4)$?

Published on 11 Jul 2016 - 14:41

score 159 · Answer 10 · 2016-07-16 15:03:50

159

Views

Value of $\int_{-\infty}^\infty\frac{\cos x}{1+x^2} \, dx$

Published on 16 Jul 2016 - 15:03

score 2.2k · Answer 11 · 2026-03-25 12:52:00

2.2k

Views

Curious integrals for Jacobi Theta Functions $\int_0^1 \vartheta_n(0,q)dq$

Published on 25 Mar 2026 - 12:52

score 49 · Answer 12 · 2016-07-27 16:43:15

49

Views

How to solve the following result in integration?

Published on 27 Jul 2016 - 16:43

score 570 · Answer 13 · 2016-07-29 19:12:48

570

Views

How to write Taylor series of $\coth(x+\frac{\pi}{4})$?

Published on 29 Jul 2016 - 19:12

score 788 · Answer 14 · 2016-08-01 23:17:13

788

Views

Identities with inverse hyperbolic and trigonometric functions, such as $\tanh^{-1} (\cos a)+\tanh^{-1} (\cos b)=\tanh^{-1} (\cos c)$

Published on 01 Aug 2016 - 23:17

score 520 · Answer 15 · 2016-08-04 15:22:28

520

Views

An inequality involving hyperbolic sine functions

Published on 04 Aug 2016 - 15:22

List Question

Is it right to ignore the negative result in the derivation of the inverse hyperbolic cosine function?

Is this proof sufficient?

Is this proof valid?

How to prove that $f(x)-x f'(x)\neq 0$?

sum of hyperbolic sine and hyperbolic tangent

Identities involving hyperbolic functions.

Precise value of $\coth(x)$ for large values of $x$?

How can we arrive at the approximation $\tanh (x)\approx 1-e^{-2 a}$, for $x^2=a^2+\delta$ with $a>1$ and $\delta\to 0$?

Can you help me to evaluate $\int_{-\infty}^\infty\frac{x^2}{-1+\cosh (2x)}dx$ as $\pi^2/6$? And do you find a similar integral for $\zeta(4)$?

Value of $\int_{-\infty}^\infty\frac{\cos x}{1+x^2} \, dx$

Curious integrals for Jacobi Theta Functions $\int_0^1 \vartheta_n(0,q)dq$

How to solve the following result in integration?

How to write Taylor series of $\coth(x+\frac{\pi}{4})$?

Identities with inverse hyperbolic and trigonometric functions, such as $\tanh^{-1} (\cos a)+\tanh^{-1} (\cos b)=\tanh^{-1} (\cos c)$

An inequality involving hyperbolic sine functions

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