1 sinx
Input |
---|
1 sin(x) |
Result |
sin(x) |
Alternate form |
1/2 i e^(-i x) – 1/2 i e^(i x) |
Roots |
x = pi n, n element Z |
Series expansion at x=0 |
x – x^3/6 + x^5/120 + O(x^6) (Taylor series) |
Derivative |
d/dx(1 sin(x)) = cos(x) |
Indefinite integral |
integral sin(x) dx = -cos(x) + constant |
Global maxima |
max{1 sin(x)} = 1 at x = 2 pi n + pi/2 for integer n |
Definite integral over a half-period |
integral_0^pi sin(x) dx = 2 |
Definite integral mean square |
integral_0^(2 pi) (sin^2(x))/(2 pi) dx = 1/2 = 0.5 |