Cosine: Integration (formula 01.07.21.1314)

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))^nu)^beta cos(d z)

http://functions.wolfram.com/01.07.21.1314.01

Input Form

Integrate[Cos[c z]/Sqrt[(a + b Cos[c z])^3], z] == -(2 (a + b Cos[c z]) (a (a + b) Sqrt[(a + b Cos[c z])/(a + b)] EllipticE[(c z)/2, (2 b)/(a + b)] - (a^2 - b^2) Sqrt[(a + b Cos[c z])/(a + b)] EllipticF[(c z)/2, (2 b)/(a + b)] - a b Sin[c z]))/(b (a^2 - b^2) c Sqrt[(a + b Cos[c z])^3])

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