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Tan






Mathematica Notation

Traditional Notation









Elementary Functions > Tan[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and exponential functions > Involving sin and exp > Involving ep z sin(b z)





http://functions.wolfram.com/01.08.21.0066.01









  


  










Input Form





Integrate[E^(p z) Sin[b z] Tan[c z], z] == (I/2) ((-(1/(b - I p))) (E^((I b + p) z) Hypergeometric2F1[(b - I p)/(2 c), 1, (b + 2 c - I p)/(2 c), -E^(2 I c z)]) + (1/(b + 2 c - I p)) (E^((I b + 2 I c + p) z) Hypergeometric2F1[ (b + 2 c - I p)/(2 c), 1, (b + 4 c - I p)/(2 c), -E^(2 I c z)]) - (1/(b + I p)) (E^(((-I) b + p) z) Hypergeometric2F1[-((b + I p)/(2 c)), 1, -((b - 2 c + I p)/(2 c)), -E^(2 I c z)]) + (1/(b - 2 c + I p)) (E^(((-I) b + 2 I c + p) z) Hypergeometric2F1[-((b - 2 c + I p)/(2 c)), 1, -((b - 4 c + I p)/(2 c)), -E^(2 I c z)]))










Standard Form





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MathML Form







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type='integer'> 2 </cn> <ci> c </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <plus /> <ci> b </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <ci> c </ci> </apply> </apply> <apply> <times /> <imaginaryi /> <ci> p </ci> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> c </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 2 </cn> <imaginaryi /> <ci> c </ci> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> b </ci> <apply> <times /> <imaginaryi /> <ci> p </ci> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <apply> <power /> <exponentiale /> <apply> <times /> 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18