Cos 2x cosx

Cos 2x cosx

Input
cos(2 x) cos(x)
Series expansion at x=0
1 – (5 x^2)/2 + (41 x^4)/24 + O(x^6)
(Taylor series)
Derivative
d/dx(cos(2 x) cos(x)) = 1/2 (-sin(x) – 3 sin(3 x))
Indefinite integral
integral cos(x) cos(2 x) dx = 1/6 (3 sin(x) + sin(3 x)) + constant

Leave a Reply

Your email address will not be published. Required fields are marked *