Show the details in estimating the area under the curve given by f (x) = 4x - x² on the interval [1, 4] using 6 subintervals of equal width. (a) The width of each sub-interval Ax is: (b) Based on the LEFT endpoint the area of the 3rd strip is: (c) What is the approximate total area for this interval using the LEFT endpoint of each rectangle: (d) What is the approximate total area for this interval using the RIGHT endpoint of each rectangle:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Show the details in estimating the area under the curve given by f (x) = 4x - x² on the interval [1, 4] using 6 subintervals of equal width.
(a) The width of each sub-interval Ax is:
(b) Based on the LEFT endpoint the area of the 3rd strip is:
(c) What is the approximate total area for this interval using the LEFT endpoint of each rectangle:
(d) What is the approximate total area for this interval using the RIGHT endpoint of each rectangle:
Transcribed Image Text:Show the details in estimating the area under the curve given by f (x) = 4x - x² on the interval [1, 4] using 6 subintervals of equal width. (a) The width of each sub-interval Ax is: (b) Based on the LEFT endpoint the area of the 3rd strip is: (c) What is the approximate total area for this interval using the LEFT endpoint of each rectangle: (d) What is the approximate total area for this interval using the RIGHT endpoint of each rectangle:
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