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We have to find the integral of cos 2x.
Int[ cos 2x dx]
let 2x = u
du = 2*dx
dx = (1/2)*du
=> Int [ cos u * (1/2) du]
=> (1/2) sin u + C
substitute u = 2x
=> (1/2) sin 2x + C
The required integral of cos 2x is (1/2)*sin 2x + C
integral is antiderivative of the function.
in this case, a derivative would use the chain rule, wherareas the antiderivative or the integral would use the same, except in the opposite direction. Thus, Integral of of cos 2x is (1/2)*sin 2x
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