Problem 3 Fill in the blanks: a) If a function fis integrable on [a,b]. b) If f is on the closed interval [a,b], then the area of the region bounded by the graph of f, the x-axis, and the vertical lines x-a and x=b is given by area f(x) dx b c) The notation a and a on the closed interval [a,b], then fis f(x) dx = F(x) + C, where C is an arbitrary constant, means F is a(n) of f. That is, F'(x)=f(x) for all x in the domain of f.

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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Problem 3
Fill in the blanks:
a) If a function fis
integrable on [a,b].
b) If f is
on the closed interval [a,b], then the area of the region bounded by the graph of f, the x-axis, and
the vertical lines x-a and x=b is given by area f(x) dx
b
c) The notation
a
and
a
on the closed interval [a,b], then fis
f(x) dx = F(x) + C, where C is an arbitrary constant, means F is a(n)
of f.
That is, F'(x)=f(x) for all x in the domain of f.
Transcribed Image Text:Problem 3 Fill in the blanks: a) If a function fis integrable on [a,b]. b) If f is on the closed interval [a,b], then the area of the region bounded by the graph of f, the x-axis, and the vertical lines x-a and x=b is given by area f(x) dx b c) The notation a and a on the closed interval [a,b], then fis f(x) dx = F(x) + C, where C is an arbitrary constant, means F is a(n) of f. That is, F'(x)=f(x) for all x in the domain of f.
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