   Chapter 4.1, Problem 6E

Chapter
Section
Textbook Problem

# (a) Graph the function f ( x ) = 1 / ( 1 + x 2 )        − 2 ≤ x ≤ 2 (b) Estimate the area under the graph of f using four approximating rectangles and taking the sample points to be (i) right endpoints and (ii) midpoints. In each case sketch the curve and the rectangles.(c) Improve your estimates in part (b) by using eight rectangles.

To determine

a)

To graph:

The function fx=11+x2, -2x2

Explanation

Use a graphing calculator to draw the graph of the given function.

Graph of fx=11+x

To determine

b)

To estimate:

The area under the graph of fx=11+x2 -2x2 by using 4 rectangles.

To determine

c)

To estimate:

The area under the graph of fx=11+x2 -2x2 by using 8 rectangles.

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