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Sin




Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Integration > Indefinite integration > Involving functions of the direct function and a power function > Involving products of the direct function and a power function > Involving products of several direct functions and a power function > Involving zalpha-1 sin(a z) sin(b z) sin(c z)





http://functions.wolfram.com/01.06.21.1122.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) Sin[a z] Sin[b z] Sin[c z], z] == (1/8) I z^\[Alpha] ((-((-I) (a - b - c) z)^(-\[Alpha])) Gamma[\[Alpha], (-I) (a - b - c) z] + Gamma[\[Alpha], I (a - b - c) z]/ (I (a - b - c) z)^\[Alpha] + Gamma[\[Alpha], (-I) (a + b - c) z]/ ((-I) (a + b - c) z)^\[Alpha] - Gamma[\[Alpha], I (a + b - c) z]/ (I (a + b - c) z)^\[Alpha] + Gamma[\[Alpha], (-I) (a - b + c) z]/ ((-I) (a - b + c) z)^\[Alpha] - Gamma[\[Alpha], I (a - b + c) z]/ (I (a - b + c) z)^\[Alpha] - Gamma[\[Alpha], (-I) (a + b + c) z]/ ((-I) (a + b + c) z)^\[Alpha] + Gamma[\[Alpha], I (a + b + c) z]/ (I (a + b + c) z)^\[Alpha])








Standard Form





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MathML Form







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</ci> </apply> </apply> <apply> <ci> Gamma </ci> <ci> &#945; </ci> <apply> <times /> <imaginaryi /> <apply> <plus /> <ci> a </ci> <ci> b </ci> <ci> c </ci> </apply> <ci> z </ci> </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