Cosine: Integration (formula 01.07.21.0306)

Cos

$Mathematica Notation$

Elementary Functions

Cos[z]

Integration

Indefinite integration

Involving one direct function and elementary functions

Involving exponential function and a power function

Involving exp and power

Involving z^alpha-1 e^{b z} cos(c z)

http://functions.wolfram.com/01.07.21.0306.01

Input Form

Integrate[(1/z^5) E^(b z) Cos[c z], z] == (-(1/2)) E^((b - I c) z) (1/(4 z^4) + (b - I c)/(12 z^3) + (b - I c)^2/(24 z^2) + (b - I c)^3/(24 z)) - (1/2) E^((b + I c) z) (1/(4 z^4) + (b + I c)/(12 z^3) + (b + I c)^2/(24 z^2) + (b + I c)^3/(24 z)) + (1/48) (b - I c)^4 ExpIntegralEi[(b - I c) z] + (1/48) (b + I c)^4 ExpIntegralEi[(b + I c) z]

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