Estimate the area under the graph of f(x) = x² +5 over the interval [0, 10] using 10 approximating rectangles and midpoints as sample points. M10 = Repeat the approximation using using 50 approximating rectangles. M50 = Repeat the approximation using using 100 approximating rectangles. M100 = Repeat the approximation using using 500 approximating rectangles. M500 = These consecutive approximations appear to be approaching what value? So, it appears that the following integral expression is valid: S dr =

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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Estimate the area under the graph of f(x) = x² + 5 over the interval [0, 10] using 10 approximating
rectangles and midpoints as sample points.
M10
-
Repeat the approximation using using 50 approximating rectangles.
M50
=
Repeat the approximation using using 100 approximating rectangles.
M100
Repeat the approximation using using 500 approximating rectangles.
M500
These consecutive approximations appear to be approaching what value?
1
So, it appears that the following integral expression is valid:
dx
-
Transcribed Image Text:Estimate the area under the graph of f(x) = x² + 5 over the interval [0, 10] using 10 approximating rectangles and midpoints as sample points. M10 - Repeat the approximation using using 50 approximating rectangles. M50 = Repeat the approximation using using 100 approximating rectangles. M100 Repeat the approximation using using 500 approximating rectangles. M500 These consecutive approximations appear to be approaching what value? 1 So, it appears that the following integral expression is valid: dx -
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