Chapter 6.3, Problem 41P

To determine

(a)

To find ${\displaystyle \underset{1}{\overset{b}{\int }}\frac{1}{\sqrt{x}}dx}$ for $b=100,1000,10000$.

To determine

(b)

To find the value of ${\displaystyle \underset{1}{\overset{b}{\int }}\frac{1}{\sqrt{x}}dx}$ using Fundamental theorem of calculus.

To determine

(c)

To find the value of ${\displaystyle \underset{1}{\overset{b}{\int }}\frac{1}{\sqrt{x}}dx}$ using Fundamental theorem of calculus at $b\to \infty$.