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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/01.07.21.2376.01









  


  








Input Form





Integrate[Sin[e z]/(a Sin[e z] + b Cos[e z])^(3/2), z] == (2 (b Sqrt[1 + b^2/a^2] + Sqrt[Cos[e z + ArcTan[b/a]]^2] HypergeometricPFQ[{1/4, 1/2}, {5/4}, Sin[e z + ArcTan[b/a]]^2] Sec[e z + ArcTan[b/a]] (b Cos[e z] + a Sin[e z])))/ ((a^2 + b^2) Sqrt[1 + b^2/a^2] e Sqrt[b Cos[e z] + a Sin[e 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