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Volume $y=\cosh x$ rotated around $y$-axis

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#integration #volume #hyperbolic-functions
195
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Can knowledge of $\int f(x)^2 dx$ possibly be used in obtaining $\int f(x) dx$?

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#integration #definite-integrals #hyperbolic-functions
909
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What connection do the hyperbolic trig functions have to the actual trig functions?

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#trigonometry #hyperbolic-functions
264
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Impossible hyperbolic integral

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#calculus #integration #indefinite-integrals #hyperbolic-functions
69
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Can $\exp\left(-i\frac{a}{b}\ln(2\cosh(bx))\right)$ be simplified further than $(e^{bx}+e^{-bx})^{-ia/b}$?

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#complex-analysis #algebra-precalculus #logarithms #hyperbolic-functions
117
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Length of the curve $x(t)=4\sin(t/4), y(t)=1-2\cos(t/4)^2$

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#calculus #integration #hyperbolic-functions
91
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Are there any "advanced" use of hyperbolic functions?

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#hyperbolic-functions
63
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The $n$-th derivative of $f(x)=\cosh g(x)$

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#calculus #hyperbolic-functions #chain-rule
299
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absolute value in derivative of inverse hyperbolic cosecant

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#calculus #derivatives #inverse-function #hyperbolic-functions
56
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Can I find $a$ and $b$ so that $\cosh(ax) - \cosh(bx) = \cosh(cx)$?

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#hyperbolic-functions
532
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Difficult Integral Involving the Dirac Delta Function

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#integration #laplace-transform #dirac-delta #hyperbolic-functions
530
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Show that $\sin^{-1}(\operatorname{cosec}x) = [2n + (-1)^n]\pi/2 + I(-1)^n \log(\cot x/2)$

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#hyperbolic-functions
449
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Definite integral with hyperbolic and trigonometric functions $ \int_0^\infty xe^{-c x^2}\sinh(a x)\cos(bx)\,dx$

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#trigonometry #definite-integrals #hyperbolic-functions
106
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How to find the value of this sum?

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#sequences-and-series #fourier-series #hyperbolic-functions
4k
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Maximum value of tanh Z

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#hyperbolic-functions

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