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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 sin and tanh > Involving sin(a z)tanh(c z) sech( c z)





http://functions.wolfram.com/01.24.21.0209.01









  


  










Input Form





Integrate[Sin[a z] Tanh[c z] Sech[c z], z] == E^(2 c z) (-((1/((-I) a + c)) (E^((I Pi)/2 + ((-I) a - c) z) HypergeometricPFQ[{2, 1/2 - (I a)/(2 c)}, {3/2 - (I a)/(2 c)}, -E^(2 c z)])) + (1/((-I) a + 3 c)) (E^((I Pi)/2 + ((-I) a + c) z) HypergeometricPFQ[{2, 3/2 - (I a)/(2 c)}, {5/2 - (I a)/(2 c)}, -E^(2 c z)]) - (1/(I a + c)) (E^(-((I Pi)/2) + (I a - c) z) HypergeometricPFQ[{2, 1/2 + (I a)/(2 c)}, {3/2 + (I a)/(2 c)}, -E^(2 c z)]) + (1/(I a + 3 c)) (E^(-((I Pi)/2) + (I a + c) z) HypergeometricPFQ[{2, 3/2 + (I a)/(2 c)}, {5/2 + (I a)/(2 c)}, -E^(2 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





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