y'=1+2sinx
令y'=0sinx=-1/2x=2kπ+7π/6或x=2kπ-π/6
所以x=2kπ+7π/6时函数有极大值
x=2kπ-π/6时函数有极小值
【2kπ-π/6,2kπ+7π/6】增区间
【2kπ+7π/6,2kπ+11π/6】减区间
y'=1+2sinx
令y'=0sinx=-1/2x=2kπ+7π/6或x=2kπ-π/6
所以x=2kπ+7π/6时函数有极大值
x=2kπ-π/6时函数有极小值
【2kπ-π/6,2kπ+7π/6】增区间
【2kπ+7π/6,2kπ+11π/6】减区间