Chapter 6.4, Problem 1CP

(a)

To determine

Whether the improper integral ${\displaystyle \underset{1}{\overset{\infty }{\int }}\frac{1}{x^3}dx}$ is convergent or divergent.

(b)

To determine

To calculate: Whether the improper integral ${\displaystyle \underset{1}{\overset{\infty }{\int }}\frac{1}{\sqrt{x}}dx}$ is convergent or divergent.