Cosx 3
Input |
---|
cos(x)×3 |
Result |
3 cos(x) |
Alternate form |
(3 e^(-i x))/2 + (3 e^(i x))/2 |
Roots |
x = pi n – pi/2, n element Z |
Series expansion at x=0 |
3 – (3 x^2)/2 + x^4/8 + O(x^6) (Taylor series) |
Derivative |
d/dx(cos(x)×3) = -3 sin(x) |
Indefinite integral |
integral 3 cos(x) dx = 3 sin(x) + constant |
Global maxima |
max{cos(x) 3} = 3 at x = 2 pi n for integer n |
Definite integral |
integral_0^(pi/2) 3 cos(x) dx = 3 |
Definite integral mean square |
integral_0^(2 pi) (9 cos^2(x))/(2 pi) dx = 9/2 = 4.5 |