y=2sin(2x+π/6)
单调增区间：
令2kπ-π/2＜2x+π/6＜2kπ+π/2,k∈Z
得kπ-π/3＜x＜kπ+π/6,k∈Z
所以单调增区间是(kπ-π/3,kπ+π/6),k∈Z