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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))betasin(d z)





http://functions.wolfram.com/01.06.21.0943.01









  


  










Input Form





Integrate[(a + b Sin[c z]^2)^(3/2) Sin[c z], z] == -((1/(8 c)) ((Cos[c z] Sqrt[2 a + b - b Cos[2 c z]] (5 a + 4 b - b Cos[2 c z]))/Sqrt[2] + (3 (a + b)^2 Log[Sqrt[2] Sqrt[-b] Cos[c z] + Sqrt[2 a + b - b Cos[2 c z]]])/Sqrt[-b]))










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