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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 sin2(e z)+b cos2(e z))beta





http://functions.wolfram.com/01.07.21.2399.01









  


  








Input Form





Integrate[Sin[e z] Sqrt[a Sin[e z]^2 + b Cos[e z]^2], z] == -(Sin[e z] (Sqrt[2] Sqrt[a + b + (-a + b) Cos[2 e z]] Cot[e z]^2 ((a - b) Sin[e z]^2)^(3/2) - a ArcTan[(Sqrt[a + b + (-a + b) Cos[2 e z]] Sqrt[(a - b)^2 Sin[2 e z]^2] Tan[e z]^2)/(2 Sqrt[2] ((a - b) Sin[e z]^2)^(3/2))] Sqrt[(a - b)^2 Sin[2 e z]^2]) Tan[e z])/(4 e ((a - b) Sin[e z]^2)^(3/2))








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