Name:
4. Use the tangent line to a graph, or differentials, to approximate
the value of
1. Find the following definite and indefinite integrals (9 pts. each):
(a) ò(x2+1)(x-2) dx
(b) òx(1-2x2)[2/3] dx
(c) ò02 x3-5x+3 dx
(d) òsec4 xtanx dx
(e) ò13 [x/([Ö(x2+1)])] dx
2. (15 pts.) Find the area of the region lying between the graphs of
3. (20 pts.) Find the volume of the solid region obtained by revolving the region in the plane bounded by graphs of
around the x-axis (see figure).
4. (20 pts.) Find the volume of the solid region obtained by revolving the region in the plane bounded by graphs of
around the y-axis (see figure).