efine ƒ : [0, 2] –R by f(x) = 1 for 0 < x < 1 and f(x) = 2 for 1 < x < 2. Show that f E R(x) on [0, 2] and ompute the integral by following the scratchwork below. The write a formal proof. %3D Precisely justify each equality and inequality in the following statement: 3 - e = L(P, f) < f dx = f dx = f dæ
efine ƒ : [0, 2] –R by f(x) = 1 for 0 < x < 1 and f(x) = 2 for 1 < x < 2. Show that f E R(x) on [0, 2] and ompute the integral by following the scratchwork below. The write a formal proof. %3D Precisely justify each equality and inequality in the following statement: 3 - e = L(P, f) < f dx = f dx = f dæ
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 32RE
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![Define ƒ : [0, 2] →R by f(x) = 1 for 0 <x <1 and f(x) = 2 for 1< x < 2. Show that f E R(x) on [0, 2] and
compute the integral by following the scratchwork below. Then write a formal proof.
Precisely justify each equality and inequality in the following statement:
3 – e = L(P, f)<
f dx =
f dx =
f dx < U(P, f) = 3.
Now write a formal proof using the steps above. It should have two distinct parts: the part where you
prove that f is integrable, and the part where you prove the value of the integral.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4798b99-57d8-49c4-99f2-a0d10bf3740f%2F9bec5415-12ff-4664-8c8c-5360cb4321cd%2Fqg40del_processed.png&w=3840&q=75)
Transcribed Image Text:Define ƒ : [0, 2] →R by f(x) = 1 for 0 <x <1 and f(x) = 2 for 1< x < 2. Show that f E R(x) on [0, 2] and
compute the integral by following the scratchwork below. Then write a formal proof.
Precisely justify each equality and inequality in the following statement:
3 – e = L(P, f)<
f dx =
f dx =
f dx < U(P, f) = 3.
Now write a formal proof using the steps above. It should have two distinct parts: the part where you
prove that f is integrable, and the part where you prove the value of the integral.
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