2. Revolve about the x­axis
A(x) = tan2(x)
y = tan(x)
y = 0 x =
4
0.674 units

4. Find the volume of the solid generated by revolving about
the x­axis the region bounded by the line y = 2x + 4 and the
curve y = ex.

6. 183.981

7. The region bounded by the graph of y = x2 + 1 and the line
y = x + 1 generates various solids when rotated as follows:
a) about the x ­ axis b) about the line y = ­ 1

8. a) about the x ­ axis
7
15

9. b) about the line y = ­ 1
4
5

10. Exercise 8.2
Questions 11 ­ 19