Cosine: Integration (formula 01.07.21.1325)

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/01.07.21.1325.01

Input Form

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