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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function, trigonometric and exponential functions > Involving algebraic functions of the direct function, trigonometric and exponential functions > Involving algebraic functions of sin and exp > Involving ep z(a sin(e z)+b cos(e z))beta





http://functions.wolfram.com/01.07.21.2696.01









  


  










Input Form





Integrate[E^(p z) (a Sin[e z] + b Cos[e z])^\[Beta], z] == (1/(p - I e \[Beta])) ((E^(p z) (((-I) a (-1 + E^(2 I e z)) + b (1 + E^(2 I e z)))/E^(I e z))^ \[Beta] Hypergeometric2F1[-((I p + e \[Beta])/(2 e)), -\[Beta], (1/2) (2 - (I p)/e - \[Beta]), ((a + I b) E^(2 I e z))/(a - I b)])/ (2^\[Beta] (1 + (((-I) a + b) E^(2 I e z))/(I a + b))^\[Beta]))










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