f(x)=2√3sin(x/2+π/4)cos(x/2+π/4)+sinx=√3sin(x+π/2)+sinx=2(√3/2cosx+1/2sinx)=2sin(x+π/3)x∈[0,π] π/3≤ x+π/3≤4π/3 -√3/2≤sin(x+π/3)≤1 -√3≤f(x)≤2
打字不易，如满意，望采纳。
