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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and exponential functions > Involving cos and exp > Involving ep zr cos(b zr)sinh(c z)





http://functions.wolfram.com/01.19.21.1259.01









  


  








Input Form





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








Standard Form





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MathML Form







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</math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18