Hyperbolic sine: Integration (formula 01.19.21.1500)

Sinh

$Mathematica Notation$

Elementary Functions

Sinh[z]

Integration

Indefinite integration

Involving functions of the direct function

Involving products of the direct function

Involving products of two direct functions

Involving sinh(a z^r) sinh(c z^r+g)

http://functions.wolfram.com/01.19.21.1500.01

Input Form

Integrate[Sinh[b z^r] Sinh[c z^r + g], z] == (-(1/(4 r))) (z ((E^g Gamma[1/r, (-b - c) z^r])/((-b - c) z^r)^r^(-1) - (E^g Gamma[1/r, (b - c) z^r])/((b - c) z^r)^r^(-1) - Gamma[1/r, (-b + c) z^r]/(E^g ((-b + c) z^r)^r^(-1)) + Gamma[1/r, (b + c) z^r]/(E^g ((b + c) z^r)^r^(-1))))

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