Chapter 13.7, Problem 2CP

(a)

To determine

To calculate: The value of the improper integral ${\displaystyle {\int }_1^{\infty }\frac{dx}{x^{4/3}}}$ if it converges.

(b)

To determine

To calculate: The value of the improper integral ${\displaystyle {\int }_0^{\infty }\frac{1}{\sqrt{x+1}}dx}$ if it converges.