1. Review
6.1, 6.2, 6.4

2. 6.1:
Sketch the region bounded by the graphs of f(x) = x2 + 2x and g(x) = x Then, find the area of the region without using a calculator.

3. 6.1
Use a graphing utility to graph the region bounded by the graphs of f(x) = x3-2x+1, g(x) = -2x, and x = 1. Then, use the graphing utility to find the area of the region.

4. 6.2
Find the volume of the solid generated by rotating the graphs y = x2 and y = 4x–x2 about the (a) x-axis and (b) line y = 6

5. 6.2
Find the volume of the solid generated by rotating the region bounded by the graphs of y = 5 – x, y = 0, y = 4, and x = 0 about the y – axis.

6. 6.4
Find the arc length of the given function over the given interval: y = [0, 1]

7. 6.4
Find the area of the surface generated by revolving the graph of y = on the interval [1, 2] about the x-axis.