Chapter 8, Problem 25CRP

(a)

To determine

To express: $f\left(x\right)$ as a partial fraction sum.

(b)

To determine

To find: the value ${\displaystyle \int f\left(x\right)dx.}$

(c)

To determine

To evaluate: The improper integral ${\displaystyle \underset{2}{\overset{\infty }{\int }}f\left(x\right)}dx$ or show it diverges.