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Sin






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.06.21.1074.01









  


  










Input Form





Integrate[(a z + b)^\[Beta] Sin[c z]^2, z] == (1/(a c (1 + \[Beta]))) ((2^(-3 - \[Beta]) (b + a z)^\[Beta] (2^(2 + \[Beta]) c (b + a z) ((c^2 (b + a z)^2)/a^2)^\[Beta] + a (-((I c (b + a z))/a))^\[Beta] (1 + \[Beta]) Gamma[1 + \[Beta], (2 I c (b + a z))/a] ((-I) Cos[(2 b c)/a] + Sin[(2 b c)/a]) + a ((I c (b + a z))/a)^\[Beta] (1 + \[Beta]) Gamma[1 + \[Beta], -((2 I c (b + a z))/a)] (I Cos[(2 b c)/a] + Sin[(2 b c)/a])))/ ((c^2 (b + a z)^2)/a^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