Hyperbolic sine: Integration (formula 01.19.21.1271)

Sinh

$Mathematica Notation$

Elementary Functions

Sinh[z]

Integration

Indefinite integration

Involving one direct function and elementary functions

Involving trigonometric and exponential functions

Involving cos and exp

Involving e^{p z^r} cos(b z^r)sinh(c z^r)

http://functions.wolfram.com/01.19.21.1271.01

Input Form

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