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Cos




Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function and trigonometric functions > Involving algebraic functions of the direct function and trigonometric functions > Involving algebraic functions of sin > Involving (a sin(e z)+b cos(e z))beta





http://functions.wolfram.com/01.07.21.2375.01









  


  








Input Form





Integrate[Cos[e z]/Sqrt[a Sin[e z] + b Cos[e z]], z] == ((-a) HypergeometricPFQ[{-(1/2), -(1/4)}, {3/4}, Cos[e z - ArcTan[a/b]]^2] Sin[e z - ArcTan[a/b]] + Sqrt[Sin[e z - ArcTan[a/b]]^2] (2 Sqrt[1 + a^2/b^2] b Cos[e z] - 2 b Cos[e z - ArcTan[a/b]] + 2 a Sqrt[1 + a^2/b^2] Sin[e z] + a Sin[e z - ArcTan[a/b]]))/ (a Sqrt[1 + a^2/b^2] e Sqrt[b Cos[e z] + a Sin[e z]] Sqrt[Sin[e z - ArcTan[a/b]]^2])








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