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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic, trigonometric and a power functions > Involving sin, sinh and power > Involving zalpha-1 sin(a zr+q)sinh(w zr+t) cosh( c zr+g)





http://functions.wolfram.com/01.20.21.2013.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) Sin[a z^r + q] Sinh[w z^r + t] Cosh[c z^r + g], z] == (-((I z^\[Alpha])/(8 r))) (((-E^(g + I q + t)) Gamma[\[Alpha]/r, ((-I) a - c - w) z^r])/ (((-I) a - c - w) z^r)^(\[Alpha]/r) + (E^(g - I q + t) Gamma[\[Alpha]/r, (I a - c - w) z^r])/ ((I a - c - w) z^r)^(\[Alpha]/r) - (E^(-g + I q + t) Gamma[\[Alpha]/r, ((-I) a + c - w) z^r])/ (((-I) a + c - w) z^r)^(\[Alpha]/r) + (E^(-g - I q + t) Gamma[\[Alpha]/r, (I a + c - w) z^r])/ ((I a + c - w) z^r)^(\[Alpha]/r) + (E^(g + I q - t) Gamma[\[Alpha]/r, ((-I) a - c + w) z^r])/ (((-I) a - c + w) z^r)^(\[Alpha]/r) - (E^(g - I q - t) Gamma[\[Alpha]/r, (I a - c + w) z^r])/ ((I a - c + w) z^r)^(\[Alpha]/r) + (E^(-g + I q - t) Gamma[\[Alpha]/r, ((-I) a + c + w) z^r])/ (((-I) a + c + w) z^r)^(\[Alpha]/r) - (E^(-g - I q - t) Gamma[\[Alpha]/r, (I a + c + w) z^r])/ ((I a + c + w) z^r)^(\[Alpha]/r))








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