If m s f(x) < M for a s x s b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b – a) s | f(x) dx s M(b – a). Use this property to estimate the value of the definite integral. x dx smaller value larger value

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 4E
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If m < f(x) < M for a < x < b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then
b
m(b — а) <
f(x) dx $ M(b - а).
Use this property to estimate the value of the definite integral.
x3 dx
smaller value
larger value
Transcribed Image Text:If m < f(x) < M for a < x < b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then b m(b — а) < f(x) dx $ M(b - а). Use this property to estimate the value of the definite integral. x3 dx smaller value larger value
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