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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving polynomials or algebraic functions and factors involving exponential functions > Involving exp > Involving ab zr+e cos(c zr+f z)





http://functions.wolfram.com/01.07.21.0529.01









  


  










Input Form





Integrate[a^(b Sqrt[z] + e) Cos[c Sqrt[z] + f z], z] == (-(1/4)) a^e ((2 I a^(b Sqrt[z]) (-1 + E^(2 I (c Sqrt[z] + f z))))/ (E^(I (c Sqrt[z] + f z)) f) + (1/((-I) f)^(3/2)) (E^((I (c + I b Log[a])^2)/(4 f)) Sqrt[Pi] Erfi[((-I) (c + 2 f Sqrt[z]) + b Log[a])/(2 Sqrt[(-I) f])] ((-I) c + b Log[a])) + (Sqrt[Pi] Erfi[(I (c + 2 f Sqrt[z]) + b Log[a])/(2 Sqrt[I f])] (I c + b Log[a]))/(E^((I (c - I b Log[a])^2)/(4 f)) (I f)^(3/2)))










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