Tangent: Integration (formula 01.08.21.0042)

Tan

$Mathematica Notation$

Elementary Functions

Tan[z]

Integration

Indefinite integration

Involving one direct function and elementary functions

Involving trigonometric functions

Involving algebraic functions of sin

http://functions.wolfram.com/01.08.21.0042.01

Input Form

Integrate[(a + b Sin[c z])^\[Beta] Tan[c z], z] == (((a + b) Hypergeometric2F1[1 + \[Beta], 1, 2 + \[Beta], (a + b Sin[c z])/(a - b)] + (a - b) Hypergeometric2F1[1 + \[Beta], 1, 2 + \[Beta], (a + b Sin[c z])/(a + b)]) (a + b Sin[c z])^(1 + \[Beta]))/ (2 (a - b) (a + b) c (1 + \[Beta]))

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