# Volume of solid revolving about y-axis

## Homework Statement

Find the volume of the solid generated by revolving the region bounded by the graph of
y = x3 and the line y = x,
between x = 0 and x = 1,

## Homework Equations

$$\pi$$$$\overline{1}$$$$\int$$$$\underline{0}$$[R(x)$$^{2}$$-[r(x)]$$^{2}$$dx

## The Attempt at a Solution

x^6 - x^2 dx = x^7/7 - x^3/3 is where I get stuck.