If f is continuous on the interval [a,b], then which of the following four statements are always true? Select all that are always true. A. B. b $₁0x) f(x) dx is the area bounded by the graph of f, the x-axis, and the lines x = a and x = b. a D. b a b OC. J a b f(x) dx is an antiderivative of f(x). a f(x) dx is a number. f(x) dx may not exist. ...

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If f is continuous on the interval [a,b], then which of the following four statements are always true?
Select all that are always true.
D A.
B.
C.
☐D.
b
[ f(x) dx
dx is the area bounded by the graph of f, the x-axis, and the lines x = a and x = b.
a
b
ffo
f(x) dx is an antiderivative of f(x).
a
b
a
f(x) dx is a number.
b
[ f(x)
a
de m
f(x) dx may not exist.
4
Transcribed Image Text:If f is continuous on the interval [a,b], then which of the following four statements are always true? Select all that are always true. D A. B. C. ☐D. b [ f(x) dx dx is the area bounded by the graph of f, the x-axis, and the lines x = a and x = b. a b ffo f(x) dx is an antiderivative of f(x). a b a f(x) dx is a number. b [ f(x) a de m f(x) dx may not exist. 4
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