Chapter 5.2, Problem 5E

Apply the Composite Midpoint Rule with $m=1$, 2, and 4 panels to approximate the integrals. Compute the error by comparing with the exact value from calculus.

1. ${\displaystyle {\int }_0^1\frac{dx}{\sqrt{x}}}$
2. ${\displaystyle {\int }_0^1{x}^{-1/3}dx}$
3. ${\displaystyle {\int }_0^2\frac{dx}{\sqrt{2-x}}}$