(a) Graph the function f(x) = 1/(1 + x³) -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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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6. (a) Graph the function
f(x) = 1/(1 + x²)
-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.
Transcribed Image Text:6. (a) Graph the function f(x) = 1/(1 + x²) -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.
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