原式不定积分=∫√(sint*sint-2sintcost+cost*cost)dt
=∫sintdt-∫cost
=-cost-sint
=-√2sin(t+π/4)
y=√2sin(t+π/4)周期为2π,定积分=0
原式=-√2sin(2π+π/4)+√2sin(0+π/4)=0
原式不定积分=∫√(sint*sint-2sintcost+cost*cost)dt
=∫sintdt-∫cost
=-cost-sint
=-√2sin(t+π/4)
y=√2sin(t+π/4)周期为2π,定积分=0
原式=-√2sin(2π+π/4)+√2sin(0+π/4)=0