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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function, trigonometric and exponential functions > Involving powers of the direct function, trigonometric and exponential functions > Involving cos and exp > Involving ep zcos(c z+d) coshnu(a z+b)





http://functions.wolfram.com/01.20.21.3800.01









  


  








Input Form





Integrate[E^(p z) Cos[d + c z] Cosh[b + a z]^\[Nu], z] == ((1/2) Cosh[b + a z]^\[Nu] (-((1/(I c - p - a \[Nu])) (E^(((-I) c + p) z) Hypergeometric2F1[ -(((-I) c + p + a \[Nu])/(2 a)), -\[Nu], (1/2) (2 + (I c - p)/a - \[Nu]), -E^(-2 (b + a z))])) + (1/(I c + p + a \[Nu])) (E^(2 I d + (I c + p) z) Hypergeometric2F1[-((I c + p + a \[Nu])/(2 a)), -\[Nu], -((I c + p + a (-2 + \[Nu]))/(2 a)), -E^(-2 (b + a z))])))/ (E^(I d) (1 + E^(-2 (b + a z)))^\[Nu])








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