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Sin






Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Integration > Indefinite integration > Involving functions of the direct function and exponential function > Involving algebraic functions of the direct function and exponential function > Involving exp > Involving ep z (a+b sin(d z))beta





http://functions.wolfram.com/01.06.21.1444.01









  


  










Input Form





Integrate[E^(p z) (a + b Sin[d z])^\[Beta], z] == ((1/(p - I d \[Beta])) E^(p z) AppellF1[-((I p)/d) - \[Beta], -\[Beta], -\[Beta], 1 - (I p)/d - \[Beta], (I b E^(I d z))/(a + Sqrt[a^2 - b^2]), -((I b E^(I d z))/(-a + Sqrt[a^2 - b^2]))] (a + b Sin[d z])^\[Beta])/ ((1 - (I b E^(I d z))/(a - Sqrt[a^2 - b^2]))^\[Beta] (1 - (I b E^(I d z))/(a + Sqrt[a^2 - b^2]))^\[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