Chapter 4.2, Problem 14E

With a programmable calculator or computer (see the instructions for Exercise 4.1.9), compute the left and right Riemann sums for the function $f\left(x\right)=x/\left(x+1\right)$ on the interval [0, 2]with n = 100. Explain why these estimates show that

$0.8946<{\displaystyle {\int }_0^2\frac{x}{x+1}dx<0.9081}$