**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(x^{2}+1)(x-2) dx

(b) òx(1-2x^{2})^{[2/3]} dx

(c) ò_{0}^{2} x^{3}-5x+3 dx

(d) òsec^{4} xtanx dx

(e) ò_{1}^{3} [x/([Ö(x^{2}+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).

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