   Chapter 4.2, Problem 14E

Chapter
Section
Textbook Problem

# 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 ( x ) = x / ( x + 1 ) on the interval [0, 2]with n = 100. Explain why these estimates show that 0.8946 < ∫ 0 2 x x + 1 d x < 0.9081

To determine

To compute:

The left and right Riemann sums for the given function on the interval [0, 2] with

n=100

Explanation

1) Concept:

Use a programmable calculator or computer and compute the left and the right Riemann sums for the given function on the given interval with the given value of n.

2) Given:

fx=xx+1, 0, 2 and n=100

0.8946<02xx+1 dx<0.9081

3) Calculation:

By using a programmable calculator it is obtained that

L1000.894691 and R1000.908025, since f(x) is increasing on the given interval 0, 2

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