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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/01.06.21.0412.01









  


  










Input Form





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










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