Hyperbolic cosecant: Integration (formula 01.23.21.0197)

Csch

$Mathematica Notation$

Elementary Functions

Csch[z]

Integration

Indefinite integration

Involving one direct function and elementary functions

Involving hyperbolic and exponential functions

Involving coth and exp

Involving e^{p z}coth(c z) csch( c z)

http://functions.wolfram.com/01.23.21.0197.01

Input Form

Integrate[E^(p z) Coth[c z] Csch[c z], z] == (1/(c (c + p) (3 c + p))) 2 c E^((p + c) z) ((3 c + p) Hypergeometric2F1[(c + p)/(2 c), 2, (3 c + p)/(2 c), E^(2 c z)] + E^(2 c z) (c + p) Hypergeometric2F1[(3 c + p)/(2 c), 2, (5 c + p)/(2 c), E^(2 c 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