3*sin(x) - 3*sin(x)*cos(x)

Input

3 sin(x) - 3 sin(x) cos(x)

Series expansion at x=0

(3 x^3)/2 - (3 x^5)/8 + (3 x^7)/80 + O(x^8)
(Taylor series)

Derivative

d/dx(3 sin(x) - 3 sin(x) cos(x)) = 3 (sin^2(x) - cos^2(x) + cos(x))

Indefinite integral

integral(3 sin(x) - 3 sin(x) cos(x)) dx = 3/2 (cos(x) - 2) cos(x) + constant