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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/01.06.21.0984.01









  


  










Input Form





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