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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))nu)beta





http://functions.wolfram.com/01.06.21.0956.01









  


  










Input Form





Integrate[Sqrt[(a + b Sin[c z]^2)^3], z] == (Sqrt[(a + b Sin[c z]^2)^3] (16 a (2 a + b) Sqrt[(2 a + b - b Cos[2 c z])/a] EllipticE[c z, -(b/a)] - 8 a (a + b) Sqrt[(2 a + b - b Cos[2 c z])/a] EllipticF[c z, -(b/a)] + 2 Sqrt[2] b (-2 a - b + b Cos[2 c z]) Sin[2 c z]))/(6 Sqrt[2] c (2 a + b - b Cos[2 c z])^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