Chapter 8.7, Problem 77E

(a)

To determine

The area of the infinite region that lies bounded by the curve $y=\frac{1}{x^2}$, line $y=0$, and line $x=1$ in the first quadrant.

(b)

To determine

The volume of the solid generated when revolving the region that lies bounded by the curve $y=\frac{1}{x^2}$, line $y=0$, and line $x=1$ in the first quadrant about the (i) x-axis and (ii) y-axis.