Cotangent: Integration (formula 01.09.21.0192)

Cot

$Mathematica Notation$

Elementary Functions

Cot[z]

Integration

Indefinite integration

Involving functions of the direct function

Involving algebraic functions of the direct function

Involving ((a+b cot²(c z))ⁿ)^beta

http://functions.wolfram.com/01.09.21.0192.01

Input Form

Integrate[Cot[c z] ((a + b Cot[c z]^2)^n)^\[Beta], z] == -((-a - b + (a - b) Cos[2 c z]) ((a + b Cot[c z]^2)^n)^\[Beta] Csc[c z]^2 Hypergeometric2F1[1 + n \[Beta], 1, 2 + n \[Beta], -(((-a - b + (a - b) Cos[2 c z]) Csc[c z]^2)/(2 (a - b)))])/ (4 (a - b) c (1 + n \[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