Tangent: Integration (formula 01.08.21.0143)

Tan

$Mathematica Notation$

Elementary Functions

Tan[z]

Integration

Indefinite integration

Involving functions of the direct function and exponential function

Involving powers of the direct function and exponential function

Involving exp

Involving e^{b z}

http://functions.wolfram.com/01.08.21.0143.01

Input Form

Integrate[E^(2 I c z) Tan[c z]^\[Nu], z] == (-(1/(c (1 - \[Nu])))) ((I 2^(-1 + \[Nu]) (1 + E^(2 I c z)) Hypergeometric2F1[1 - \[Nu], -\[Nu], 2 - \[Nu], (1/2) (1 + E^(2 I c z))] Tan[c z]^\[Nu])/ (1 - E^(2 I c z))^\[Nu])

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