Question -
Answer -
Let f(x) = x +sin 2x.
Then, we evaluate the valueof f at critical points 
and at the end points of the interval[0, 2π].
Hence, we can conclude that the absolutemaximum value of f(x) in the interval [0, 2π] is 2πoccurring at x = 2π and the absolute minimum value of f(x)in the interval [0, 2π] is 0 occurring at x = 0.