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Cot




Mathematica Notation

Traditional Notation









Elementary Functions > Cot[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/01.09.21.0133.01









  


  








Input Form





Integrate[E^(p z) Sin[b z] Cot[c z], z] == (1/2) ((1/((-I) b + p)) (E^(I c z + ((-I) b - I c + p) z) HypergeometricPFQ[{1, -(b/(2 c)) - (I p)/(2 c)}, {1 - b/(2 c) - (I p)/(2 c)}, E^(2 I c z)]) + (1/((-I) b + 2 I c + p)) (E^(I c z + ((-I) b + I c + p) z) HypergeometricPFQ[{1, 1 - b/(2 c) - (I p)/(2 c)}, {2 - b/(2 c) - (I p)/(2 c)}, E^(2 I c z)]) - (1/(I b + p)) (E^(I c z + (I b - I c + p) z) HypergeometricPFQ[ {1, b/(2 c) - (I p)/(2 c)}, {1 + b/(2 c) - (I p)/(2 c)}, E^(2 I c z)]) - (1/(I b + 2 I c + p)) (E^(I c z + (I b + I c + p) z) HypergeometricPFQ[{1, 1 + b/(2 c) - (I p)/(2 c)}, {2 + b/(2 c) - (I p)/(2 c)}, E^(2 I c z)]))








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