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Sec






Mathematica Notation

Traditional Notation









Elementary Functions > Sec[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Involving zn eb z





http://functions.wolfram.com/01.11.21.0030.01









  


  










Input Form





Integrate[z^n E^(b z) Sec[a z], z] == n! 2 E^((I a + b) z) Sum[(((-1)^j z^(-j + n))/((n - j)! (I a + b)^(j + 1))) HypergeometricPFQ[{Subscript[c, 1], \[Ellipsis], Subscript[c, j + 1], 1}, {1 + Subscript[c, 1], \[Ellipsis], 1 + Subscript[c, j + 1]}, -E^(2 I a z)], {j, 0, n}] /; Subscript[c, 1] == Subscript[c, 2] == \[Ellipsis] == Subscript[c, n + 1] == (a - I b)/(2 a) && Element[n, Integers] && n >= 0










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)





2002-10-15





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