Hyperbolic sine: Integration (formula 01.19.21.0313)

Sinh

$Mathematica Notation$

Elementary Functions

Sinh[z]

Integration

Indefinite integration

Involving one direct function and elementary functions

Involving exponential function and a power function

Involving exp and power

Involving z^alpha-1 e^{b z+e} sinh(c z)

http://functions.wolfram.com/01.19.21.0313.01

Input Form

Integrate[z^(\[Alpha] - 1) E^(c z + e) Sinh[c z], z] == -((E^e z^\[Alpha] (1 + (\[Alpha] Gamma[\[Alpha], -2 c z])/ (2^\[Alpha] ((-c) z)^\[Alpha])))/(2 \[Alpha]))

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