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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric, exponential and a power functions > Involving sin, exp and power > Involving zalpha-1ep zsin(c z+d)cos(a z)





http://functions.wolfram.com/01.07.21.0975.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) E^(p z) Sin[d + c z] Cos[a z], z] == ((1/4) I z^\[Alpha] (-ExpIntegralE[1 - \[Alpha], (-I) (a - c - I p) z] + E^(2 I d) ExpIntegralE[1 - \[Alpha], (-I) (a + c - I p) z] + E^(2 I d) ExpIntegralE[1 - \[Alpha], I (a - c + I p) z] - ExpIntegralE[1 - \[Alpha], I (a + c + I p) z]))/E^(I d)










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