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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and exponential functions > Involving sec and exp





http://functions.wolfram.com/01.20.21.1349.01









  


  










Input Form





Integrate[E^(b z) Sec[c z] Cosh[c z], z] == ((b + (1 + I) c) E^((b - (1 - I) c) z) Hypergeometric2F1[ -((I (b - (1 - I) c))/(2 c)), 1, -((I (b - (1 - 3 I) c))/(2 c)), -E^(2 I c z)] + (b - (1 - I) c) E^((b + (1 + I) c) z) Hypergeometric2F1[-((I (b + (1 + I) c))/(2 c)), 1, -((I (b + (1 + 3 I) c))/(2 c)), -E^(2 I c z)])/ ((b - (1 - I) c) (b + (1 + I) 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