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Cos




Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function, exponential and algebraic functions > Involving powers of the direct function, exponential and algebraic functions > Involving powers of cos, exp and algebraic functions > Involving (a z+b)beta dz cosv(c z+e)





http://functions.wolfram.com/01.07.21.2023.01









  


  








Input Form





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








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