Integrate sin^2(x) with respect to x

use trigonometric identities i.e. Cos(2x) = Cos²(x) - Sin²(x) (a) Cos²(x) + Sin²(x) = 1 (b)Therefore: Cos²(x) = 1 - Sin²(x) (c)Combining (a) and (c) we achieve Cos(2x) = 1 - 2 Sin²(x)Rearranging we achieveSin²(x) = (1/2) - (1/2) Cos(2x)Therefore integrating with respect to x∫Sin²(x) dx = ∫ (1/2) - (1/2)Cos(2x) dx= (x/2) - (1/4)Sin(2x) + C