Cosine: Integration (formula 01.07.21.1328)

Cos

$Mathematica Notation$

Elementary Functions

Cos[z]

Integration

Indefinite integration

Involving functions of the direct function

Involving algebraic functions of the direct function

Involving (a+b cos(c z))^betaand rational function of cos(c z)

http://functions.wolfram.com/01.07.21.1328.01

Input Form

Integrate[1/((-1 + Cos[c z]) Sqrt[a + b Cos[c z]]), z] == ((a + b Cos[c z]) Cot[(c z)/2] + (a + b) Sqrt[(a + b Cos[c z])/(a + b)] EllipticE[(c z)/2, (2 b)/(a + b)] - (a + b) Sqrt[(a + b Cos[c z])/(a + b)] EllipticF[(c z)/2, (2 b)/(a + b)])/ ((a + b) c Sqrt[a + b Cos[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