求解一道积分题

2025-05-10 12:30:52
推荐回答(1个)
回答1:

选B
AB线段方程,y=3x/4 x∈[0,4]
ds=(1+9/16)½dx=(1+16/9)½dy
∫L (x-y)ds
=∫0→4 (x-3x/4)(1+9/16)½dx
=∫0→3 (4y/3-y)(1+16/9)½dy