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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 z sin(b zr)cos(c zr)





http://functions.wolfram.com/01.07.21.0915.01









  


  








Input Form





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








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