In: Advanced Math
1) Find an estimate for the area under the graph of f(x)=x^2 from x=0 to x=8 using four rectangles and:
a) left end points
b) right end points
c) mid points
2) Find the volume of a solid obtained by rotating about the x-axis the region bounded by y=x^3 and y=2x.
Sketch the region, the solid, and a typical disk or washer.