Question

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Your set-up must include a graph of the region and an example of the rectangle used or one disk/washer or shell (depending on the method used).

1. y = x³ , y = 0, x =1 about the x-axis
2. y = SQRT(x −1), x = 5, y = 0 about the y-axis
3. y = 4/x, x =1, x =4, y =0, about y-axis
4. y =3x - x² , y =0, about the vertical line x = -2

Answer 1