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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and exponential functions > Involving products of sin and exp





http://functions.wolfram.com/01.07.21.0961.01









  


  










Input Form





Integrate[E^(p z) Sin[a z] Sin[b z] Cos[c z], z] == (-(1/4)) E^(p z) (((-p) Cos[(a - b - c) z] + (-a + b + c) Sin[(a - b - c) z])/((a - b + I (I c - p)) (a - b + I (I c + p))) + (p Cos[(a + b - c) z] + (a + b - c) Sin[(a + b - c) z])/((a + b + I (I c - p)) (a + b + I (I c + p))) + ((-p) Cos[(a - b + c) z] + (-a + b - c) Sin[(a - b + c) z])/(a^2 + b^2 - 2 a (b - c) - 2 b c + c^2 + p^2) + (p Cos[(a + b + c) z] + (a + b + c) Sin[(a + b + c) z])/ ((a + b - I (I c - p)) (a + b - I (I c + p))))










Standard Form





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MathML Form







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