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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![(3) What is the Definite Integral of a function f from a to b?
(4) The symbol f was introduced by
and is called an
It is an elongated S and is chosen because an integral is a
(5) In the notation f f(x) dx,
f(x) is called
a and b are called
a is the
and b is the
(6) The symbol dx simply indicates that
(7) The sum 1 f(x)Ax is called
the German mathematician
on
(8) Theorem: If f is continuous on [a, b], or if f has only a finite number of jump discontinuites
[a, b], then f is
; that is,
named after
Theorem: If f is integrable on [a, b], then f f(x) dx =
=
where ∆r =
and x₁ =
exists.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05306099-d17b-4786-a552-6aca0323abbc%2F550e143b-617c-4e6e-bfd9-9044e7cb5ea0%2Fro4u3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(3) What is the Definite Integral of a function f from a to b?
(4) The symbol f was introduced by
and is called an
It is an elongated S and is chosen because an integral is a
(5) In the notation f f(x) dx,
f(x) is called
a and b are called
a is the
and b is the
(6) The symbol dx simply indicates that
(7) The sum 1 f(x)Ax is called
the German mathematician
on
(8) Theorem: If f is continuous on [a, b], or if f has only a finite number of jump discontinuites
[a, b], then f is
; that is,
named after
Theorem: If f is integrable on [a, b], then f f(x) dx =
=
where ∆r =
and x₁ =
exists.
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