List questions from hyperbolic-functions

Published on 29 Apr 2026 - 12:53

75

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How do I show this :$\int_{-\infty}^{+\infty} x^n 2\cosh( x)e^{-x^2}=0$ if it is true with $n$ odd positive integer?

Published on 02 May 2026 - 23:55

101

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$w =\operatorname{arcsinh}(1+2\operatorname{arcsinh}(1+2^2\operatorname{arcsinh}(1+2^{2^2}\operatorname{arcsinh}(1+\dotsm$

Published on 05 May 2026 - 13:06

935

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"Discovering" the hyperbolic functions $\cosh(x)$ and $\sinh(x)$

Published on 04 May 2026 - 3:55

7.2k

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how do we prove integral sechx?

Published on 29 Apr 2026 - 12:54

652

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Fourth-order homogeneous ODE

Published on 07 May 2026 - 20:06

1.3k

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how to calculate the value of $\int_{-\infty}^\infty \frac{e^{ax}}{\cosh x}\,dx$

Published on 07 May 2026 - 20:01

96

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Find all values of following inverse hyperbolic trig function

Published on 03 May 2026 - 8:59

71

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showing the identity of a hyperbolic function

Published on 29 Apr 2026 - 12:54

168

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Find the tangent line for the following: $(\operatorname{arcsec} x)^2$ at $x = 2$

Published on 04 May 2026 - 3:55

559

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Find the points of a hyperboloid where the tangent plane is parallel to a plane

Published on 05 May 2026 - 4:12

271

Views

Square Contour Show that $|\sin(z)| \ge \sinh(\pi/2)$

Published on 29 Apr 2026 - 12:54

327

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Finding tangent line of curve that pass through the origin

Published on 29 Apr 2026 - 12:54

590

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Find the reduction formula for $I_n = \int (\tanh^{n}x)$

Published on 29 Apr 2026 - 12:54

8.1k

Views

Is hyperbolic rotation really a rotation?

Published on 29 Apr 2026 - 12:54

List Question

Proving an inequality of functions over $\mathbb{C}$

How do I show this :$\int_{-\infty}^{+\infty} x^n 2\cosh( x)e^{-x^2}=0$ if it is true with $n$ odd positive integer?

$w =\operatorname{arcsinh}(1+2\operatorname{arcsinh}(1+2^2\operatorname{arcsinh}(1+2^{2^2}\operatorname{arcsinh}(1+\dotsm$

"Discovering" the hyperbolic functions $\cosh(x)$ and $\sinh(x)$

how do we prove integral sechx?

Fourth-order homogeneous ODE

how to calculate the value of $\int_{-\infty}^\infty \frac{e^{ax}}{\cosh x}\,dx$

Find all values of following inverse hyperbolic trig function

showing the identity of a hyperbolic function

Find the tangent line for the following: $(\operatorname{arcsec} x)^2$ at $x = 2$

Find the points of a hyperboloid where the tangent plane is parallel to a plane

Square Contour Show that $|\sin(z)| \ge \sinh(\pi/2)$

Finding tangent line of curve that pass through the origin

Find the reduction formula for $I_n = \int (\tanh^{n}x)$

Is hyperbolic rotation really a rotation?

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