设曲线L:x=1,0≤y≤3,则∫xds=__________.

2025-05-07 09:35:12
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回答1:

x = φ(y) = 1
x' = φ'(y) = 0
ds = √(1 + φ'²(y)) = dy
∫ x ds
= ∫(0→3) dy
= 3