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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function and a power function > Involving powers of the direct function and a power function > Involving powers of sin and power > Involving zalpha-1 cosnu(a z+b)





http://functions.wolfram.com/01.07.21.1452.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) Cos[a z + b]^2, z] == ((1/\[Alpha]) 2^(-2 - \[Alpha]) z^\[Alpha] (2^(1 + \[Alpha]) (a^2 z^2)^\[Alpha] - ((-I) a z)^\[Alpha] \[Alpha] Gamma[\[Alpha], 2 I a z] (Cos[b] - I Sin[b])^2 - (I a z)^\[Alpha] \[Alpha] Gamma[\[Alpha], -2 I a z] (Cos[b] + I Sin[b])^2))/(a^2 z^2)^\[Alpha]










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