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 m(b − a) ≤∫abf(x) dx≤ M(b − a)∫1162sqrtx dxUse this property to estimate the value of the integral.smaller value:______ larger value:______ (photo provided shows the question better!) If m s f(x) s M for a s xs b, where m is the absolute minimum and M is the absolute maximum of fon the interval [a, b], thenm(b - a) sF(x) dx s M(b - a).Use this property to estimate the value of the integral.162x dx(smaller value)(larger value)

We need to represent the given integral in the form of expression given in the question to solve the…

If m s f(x) s M for a s xs b, where m is the absolute minimum and M is the absolute maximum of fon 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 integral. 16 2x dx (smaller value) (larger value)

If m s f(x) s M for a s xs b, where m is the absolute minimum and M is the absolute maximum of fon 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 integral. 16 2x dx (smaller value) (larger value)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Question

100%

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

m(b − a) ≤∫^a_bf(x) dx≤ M(b − a)

∫₁¹⁶2sqrtx dx

Use this property to estimate the value of the integral.

smaller value:______

larger value:______

(photo provided shows the question better!)

If m s f(x) s M for a s xs b, where m is the absolute minimum and M is the absolute maximum of fon 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 integral.
16
2x dx
(smaller value)
(larger value)

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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