画横线怎么算

画横线怎么算画横线怎么算
2025-05-20 11:41:41
推荐回答(1个)
回答(1):

设x=3cosu,y=4sinu,
ds=√[(dx)^2+(dy)^2]=√[9(cosu)^2+16(sinu)^2]du
=√[(9/2)(1+cos2u)+8(1-cos2u)]du
=√(25-7cos2u)du/√2,
24xyds
=∫<0,2π>144sin2u√(25-7cos2u)du/√2
=(-24√2/7)(25-7cos2u)^(3/2)|<0,2π>
=0