绕x轴旋转一周所得的体积=∫π(x/4)dx-∫π(x-1)dx =[(π/12)x]│-[π(x/2-x)]│ =(π/12)(2-0)-π(2/2-2-1/2+1) =2π/3-π/2 =π/6； 绕y轴旋转一周所得的体积=∫2πx(x/2)dx-∫2πx√(x-1)dx =π∫xdx-2π∫[(x-1)...