1 cosx integral

1 cosx integral

Indefinite integral
integral 1 cos(x) dx = sin(x) + constant
Alternate form of the integral
1/2 i e^(-i x) – 1/2 i e^(i x) + constant
Series expansion of the integral at x=0
x – x^3/6 + x^5/120 + O(x^6)
(Taylor series)
Definite integral
integral_0^(pi/2) cos(x) dx = 1
Definite integral mean square
integral_0^(2 pi) (cos^2(x))/(2 pi) dx = 1/2 = 0.5

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