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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 and exponential functions > Involving sin and exp > Involving ep zsin(b zr)cos(c z)





http://functions.wolfram.com/01.07.21.0909.01









  


  








Input Form





Integrate[E^(p z) Sin[b z^2] Cos[c z], z] == (1/(8 Sqrt[b])) (((-1)^(1/4) Sqrt[Pi] (I E^((I c^2)/(2 b)) Erfi[((-1)^(1/4) ((-I) c + p - 2 I b z))/ (2 Sqrt[b])] + I E^((c (I c + 2 p))/(2 b)) Erfi[((-1)^(1/4) (I c + p - 2 I b z))/(2 Sqrt[b])] + E^(((2 c + I p) p)/(2 b)) Erfi[((-1)^(3/4) ((-I) c + p + 2 I b z))/ (2 Sqrt[b])] + E^((I p^2)/(2 b)) Erfi[((-1)^(3/4) (I c + p + 2 I b z))/(2 Sqrt[b])]))/ E^((I (c^2 - 2 I c p + p^2))/(4 b)))








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