Chapter 5.1, Problem 8ES

To determine

To calculate: The area between the graph of the function $f\left(x\right)=\sqrt{1-x^2}$ and the interval $\left[a,b\right]=\left[-1,1\right]$ and use an approximation scheme with $n$ rectangles. Use the calculating utility to estimate the specified area for $n=10,50$ rectangles. Estimate this area using $n=2,5,$ and $10$ rectangles.