Hello,

Given equation is a very general and popular question of integration. The solution is given below:

f ( x ) = 1 - cos 2x

So, ∫ f ( x ) dx = ∫ 1 - cos 2x . dx

So, ∫  f ( x ) dx = ∫ 1. dx - ∫ cos 2x . dx

So, ∫  f ( x ) dx = x - ( sin 2x / 2 ) + c

So, solution of given integration is x - ( sin 2x / 2 ) + c

Best Wishes.