Cosine: Integration (formula 01.07.21.1062)

Cos

$Mathematica Notation$

Elementary Functions

Cos[z]

Integration

Indefinite integration

Involving functions of the direct function

Involving products of the direct

Involving products of two direct functions

Involving cos(d z+e) cos(c z^r)

http://functions.wolfram.com/01.07.21.1062.01

Input Form

Integrate[Cos[d z + e] Cos[c z^2], z] == (1/(2 Sqrt[-c] Sqrt[c])) (Sqrt[Pi/2] (Sqrt[c] Cos[d^2/(4 c) + e] FresnelC[(d - 2 c z)/(Sqrt[-c] Sqrt[2 Pi])] + Sqrt[-c] Cos[d^2/(4 c) - e] FresnelC[(d + 2 c z)/(Sqrt[c] Sqrt[2 Pi])] + Sqrt[-c] FresnelS[(d + 2 c z)/(Sqrt[c] Sqrt[2 Pi])] Sin[d^2/(4 c) - e] - Sqrt[c] FresnelS[(d - 2 c z)/(Sqrt[-c] Sqrt[2 Pi])] Sin[d^2/(4 c) + 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