利用壳层法计算体积 by tenkosky

GeoGebra 命令及参数

1. Sequence(Segment[(i / n, f(i / n)), ((i + 1) / n, f(i / n))], i, 0, n - 1, 1) → list2
2. Sequence(Segment[(i / n, g(i / n)), ((i + 1) / n, g(i / n))], i, 0, n - 1, 1) → list3
3. Sequence(Segment[(i / n, f((i - 1) / n)), (i / n, g(i / n))], i, 0, n, 1) → list1
4. Rotate(f, α, yAxis) → f_1
5. Rotate(g, α, yAxis) → g_1
6. Rotate(list1, α, yAxis) → list1'
7. Rotate(list2, α, yAxis) → list2'
8. Rotate(list3, α, yAxis) → list3'
9. Sequence(Cylinder[(0, f((i - 1) / n)), (0, g(i / n)), i / n], i, 0, n, 1) → list4