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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Other integrals





http://functions.wolfram.com/01.20.21.2439.01









  


  










Input Form





Integrate[1/Sqrt[(a + b Cosh[e z]^2) (c + d Cosh[e z]^2)], z] == ((b c - a d) Cosh[e z] Sqrt[((c + d) (2 a + b + b Cosh[2 e z]) Csch[e z]^2)/ (b c - a d)] Sqrt[((a + b) (2 c + d + d Cosh[2 e z]) Csch[e z]^2)/ ((-b) c + a d)] EllipticF[ ArcSin[Sqrt[((a + b) (2 c + d + d Cosh[2 e z]) Csch[e z]^2)/ (-2 b c + 2 a d)]], (b c - a d)/(a c + b c)] Sinh[e z])/ ((a + b) c e Sqrt[(2 a + b + b Cosh[2 e z]) (2 c + d + d Cosh[2 e z])] Sqrt[((c + d) Coth[e z]^2)/c])










Standard Form





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MathML Form







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<apply> <power /> <ci> c </ci> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2002-12-18