1 2cos x
Input |
---|
2 cos(x) |
Alternate form |
e^(-i x) + e^(i x) |
Roots |
x = pi n – pi/2, n element Z |
Series expansion at x=0 |
2 – x^2 + x^4/12 + O(x^6) (Taylor series) |
Derivative |
d/dx(2 cos(x)) = -2 sin(x) |
Indefinite integral |
integral 2 cos(x) dx = 2 sin(x) + constant |
Global maxima |
max{2 cos(x)} = 2 at x = 2 pi n for integer n |
Definite integral |
integral_0^(pi/2) 2 cos(x) dx = 2 |
Definite integral mean square |
integral_0^(2 pi) (2 cos^2(x))/pi dx = 2 |