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Sin






Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b sin2(c z))beta sinnu(c z)





http://functions.wolfram.com/01.06.21.0986.01









  


  










Input Form





Integrate[Sin[c z]^2/(a + b Sin[c z]^2)^(5/2), z] == (-2 a^2 (a - b) ((2 a + b - b Cos[2 c z])/a)^(3/2) EllipticE[c z, -(b/a)] + 2 a^2 (a + b) ((2 a + b - b Cos[2 c z])/a)^(3/2) EllipticF[c z, -(b/a)] - Sqrt[2] b (4 a^2 + a b - b^2 - (a - b) b Cos[2 c z]) Sin[2 c z])/ (6 a b (a + b)^2 c (2 a + b - b Cos[2 c z])^(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