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Sin




Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Involving zalpha-1eb zr+e sin(c zr)





http://functions.wolfram.com/01.06.21.0419.01









  


  








Input Form





Integrate[z E^(b Sqrt[z] + e) Sin[c Sqrt[z]], z] == (1/(b^2 + c^2)^4) (2 E^(b Sqrt[z] + e) ((-c) (-6 b^5 z + b^6 z^(3/2) + c^4 Sqrt[z] (-6 + c^2 z) - 6 b c^2 (-4 + c^2 z) - 12 b^3 (2 + c^2 z) + 3 b^2 c^2 Sqrt[z] (4 + c^2 z) + 3 b^4 Sqrt[z] (6 + c^2 z)) Cos[c Sqrt[z]] + (-3 b^6 z + b^7 z^(3/2) + b c^4 Sqrt[z] (-18 + c^2 z) + 3 b^3 c^2 Sqrt[z] (-4 + c^2 z) + 3 c^4 (-2 + c^2 z) - 3 b^4 (2 + c^2 z) + 3 b^5 Sqrt[z] (2 + c^2 z) + 3 b^2 c^2 (12 + c^2 z)) Sin[c Sqrt[z]]))








Standard Form





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MathML Form







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<cos /> <apply> <times /> <ci> c </ci> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </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