=2sin^2(2x)+2cos^2(2x)+4sin2xcos2x+cos^2(2x)
=2+2sin4x+cos^2(2x)
=5/2+2sin4x+1/2(2cos^2(2x)-1)
=5/2+2sin4x+1/2cos4x
=5/2+√17/2sin(4x+a)
tana=1/8
则最小正周期为:2π/4=π/2
单调增区间:
(kπ/2-π/8-1/4arctan1/8,kπ/2+π/8-1/4arctan1/8)
单调减区间:
(kπ/2+π/8-1/4arctan1/8,kπ/2+3π/8-1/4arctan1/8,)