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Sin




Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Integration > Indefinite integration > Involving functions of the direct function and algebraic functions > Involving products of the direct function and algebraic functions > Involving products of two direct functions and algebraic functions > Involving (f+e z)alpha-1sin(d+c z) sin(b+a z)





http://functions.wolfram.com/01.06.21.1256.01









  


  








Input Form





Integrate[(f + e z)^(\[Alpha] - 1) Sin[c z + d] Sin[b + a z], z] == (1/(4 e)) (((f + e z)^\[Alpha] ((-((I (-a + c) (f + e z))/e)^\[Alpha]) (((a + c)^2 (f + e z)^2)/e^2)^\[Alpha] Gamma[\[Alpha], (I (a - c) (f + e z))/e] (Cos[b - d + ((-a + c) f)/e] - I Sin[b - d + ((-a + c) f)/e]) - ((I (a - c) (f + e z))/e)^\[Alpha] (((a + c)^2 (f + e z)^2)/e^2)^\[Alpha] Gamma[\[Alpha], (I (-a + c) (f + e z))/e] (Cos[b - d + ((-a + c) f)/e] + I Sin[b - d + ((-a + c) f)/e]) + (((a - c)^2 (f + e z)^2)/e^2)^ \[Alpha] ((-((I (a + c) (f + e z))/e))^\[Alpha] Gamma[\[Alpha], (I (a + c) (f + e z))/e] (Cos[b + d - ((a + c) f)/e] - I Sin[b + d - ((a + c) f)/e]) + ((I (a + c) (f + e z))/e)^\[Alpha] Gamma[\[Alpha], -((I (a + c) (f + e z))/e)] (Cos[b + d - ((a + c) f)/e] + I Sin[b + d - ((a + c) f)/e]))))/ ((((a - c)^2 (f + e z)^2)/e^2)^\[Alpha] (((a + c)^2 (f + e z)^2)/e^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