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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and exponential functions > Involving cos and exp > Involving eb zr+e cos(a zr+q) sinh(c zr+g)





http://functions.wolfram.com/01.19.21.1276.01









  


  








Input Form





Integrate[E^(b Sqrt[z] + e) Cos[a Sqrt[z] + q] Sinh[c Sqrt[z] + g], z] == (1/2) (-((E^(e - g + I q + (I a + b - c) Sqrt[z]) (-1 + b Sqrt[z] - ((-I) a + c) Sqrt[z]))/((-I) a - b + c)^2) + (E^(e + g - I q + ((-I) a + b + c) Sqrt[z]) (-1 + b Sqrt[z] + ((-I) a + c) Sqrt[z]))/((-I) a + b + c)^2 - (E^(e - g - I q + ((-I) a + b - c) Sqrt[z]) (-1 + b Sqrt[z] - (I a + c) Sqrt[z]))/(I a - b + c)^2 + (E^(e + g + I q + (I a + b + c) Sqrt[z]) (-1 + b Sqrt[z] + (I a + c) Sqrt[z]))/(I a + b + c)^2)








Standard Form





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MathML Form







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<apply> <plus /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> b </ci> </apply> <ci> c </ci> <apply> <times /> <imaginaryi /> <ci> a </ci> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </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