∵对于y=sinx来说它的单调递减区间是π/2+2kπ≤x≤2Kπ+3π/2
∴2kπ≤2x+π/3≤2Kπ+3π/2
∴π/12+kπ≤x≤7π/12+kπ
∴f(x)=2sin(2x+π/3)的单调减区间是π/12+kπ≤x≤7π/12+kπ(k∈z)