Cosine: Integration (formula 01.07.21.0615)

Cos

$Mathematica Notation$

Elementary Functions

Cos[z]

Integration

Indefinite integration

Involving one direct function and elementary functions

Involving trigonometric functions

Involving sin

Involving sin(b z^r+e) cos(c z^r)

http://functions.wolfram.com/01.07.21.0615.01

Input Form

Integrate[Sin[b z^r + e] Cos[c z^r], z] == ((-(1/(4 r))) I z (Gamma[1/r, I (b - c) z^r]/(I (b - c) z^r)^r^(-1) - (E^(2 I e) Gamma[1/r, I (-b + c) z^r])/(I (-b + c) z^r)^r^(-1) - (E^(2 I e) Gamma[1/r, (-I) (b + c) z^r])/((-I) (b + c) z^r)^r^(-1) + Gamma[1/r, I (b + c) z^r]/(I (b + c) z^r)^r^(-1)))/E^(I e)

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