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Csc






Mathematica Notation

Traditional Notation









Elementary Functions > Csc[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving ((a+b csc2(c z))n)beta





http://functions.wolfram.com/01.10.21.0104.01









  


  










Input Form





Integrate[((a + b Csc[c z]^2)^n)^\[Beta], z] == (-(1/(-c + 2 c n \[Beta]))) ((AppellF1[1/2 - n \[Beta], 1/2, (-n) \[Beta], 3/2 - n \[Beta], Sin[c z]^2, -((a Sin[c z]^2)/b)] Sqrt[Cos[c z]^2] ((a + b Csc[c z]^2)^n)^\[Beta] Tan[c z])/(1 + (a Sin[c z]^2)/b)^(n \[Beta]))










Standard Form





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MathML Form







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</ci> </apply> <apply> <power /> <apply> <plus /> <apply> <times /> <ci> a </ci> <apply> <power /> <apply> <sin /> <apply> <times /> <ci> c </ci> <ci> z </ci> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> n </ci> </apply> <ci> &#946; </ci> </apply> </apply> <apply> <tan /> <apply> <times /> <ci> c </ci> <ci> z </ci> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18