一道高数题 如图第九题

2025-05-20 01:25:13
推荐回答(1个)
回答1:

V = ∫<0, 2>dx∫<0, 2-x> (6-3x-2y)dy
= ∫<0, 2>dx[(6-3x)y-y^2]<0, 2-x>
= ∫<0, 2>[(6-3x)(2-x)-(2-x)^2]dx
= ∫<0, 2>(2x^2-10x+8)dx
= [(2/3)x^3-5x^2+8x]<0, 2> = 4/3