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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic and trigonometric functions > Involving cos and sinh > Involving cos(a z)sinh(b z) sech( c z)





http://functions.wolfram.com/01.24.21.0203.01









  


  










Input Form





Integrate[Cos[a z] Sinh[b z] Sech[c z], z] == (1/2) ((1/((-I) a - b + c)) (E^(I Pi + ((-I) a - b + c) z) Hypergeometric2F1[1, ((-I) a - b + c)/(2 c), ((-I) a - b + 3 c)/(2 c), -E^(2 c z)]) + (E^(I Pi + (I a - b + c) z) Hypergeometric2F1[1, (I a - b + c)/(2 c), (I a - b + 3 c)/(2 c), -E^(2 c z)])/ (I a - b + c) + (E^(((-I) a + b + c) z) Hypergeometric2F1[1, ((-I) a + b + c)/(2 c), ((-I) a + b + 3 c)/(2 c), -E^(2 c z)])/ ((-I) a + b + c) + (E^((I a + b + c) z) Hypergeometric2F1[1, (I a + b + c)/(2 c), (I a + b + 3 c)/(2 c), -E^(2 c z)])/(I a + b + c))










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





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