Hyperbolic sine: Integration (formula 01.19.21.0434)

Sinh

$Mathematica Notation$

Elementary Functions

Sinh[z]

Integration

Indefinite integration

Involving one direct function and elementary functions

Arguments involving inverse trigonometric functions

Involving csc^-1

http://functions.wolfram.com/01.19.21.0434.01

Input Form

Integrate[Sinh[ArcCsc[z]], z] == (1/2 + I/2) E^((1 + I) ArcCsc[z]) Hypergeometric2F1[1/2 - I/2, 1, 3/2 - I/2, E^(2 I ArcCsc[z])] + (1/2 - I/2) E^((-1 + I) ArcCsc[z]) Hypergeometric2F1[1/2 + I/2, 1, 3/2 + I/2, E^(2 I ArcCsc[z])] + z Sinh[ArcCsc[z]]

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2002-12-18