If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the following is FALSE? ® A b b [²kf (x) dx = k [² f a a b b b ℗ ["if(x) = g(x) dx = ["f(x) dx - Sg (x) dx a a a b © S'ka a E kdx=bk - ak b © (0) ["100800&=[[100] [800] [[^/ f(x) g(x) dx = f (x) dx g(x) dx a a f(x) dx b None of the given choices

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...
icon
Related questions
Question
If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the following is FALSE?
A
@["4f(x)=x["1(e)al
kf (x) dx = k k f (x) dx
b
©
® -
B
©
D
b
b
[ [f(x) = g(x)]dx =
ix = f* f (x) dx = [° 8(x) dx
-
a
a
a
b
Skdx
kdx=bk - ak
a
["f(x)8
b
·b
b
- [[ ^f(x) de ] [ 8(x2)
dx
g dx
a
(x) g(x) dx =
E None of the given choices
Transcribed Image Text:If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the following is FALSE? A @["4f(x)=x["1(e)al kf (x) dx = k k f (x) dx b © ® - B © D b b [ [f(x) = g(x)]dx = ix = f* f (x) dx = [° 8(x) dx - a a a b Skdx kdx=bk - ak a ["f(x)8 b ·b b - [[ ^f(x) de ] [ 8(x2) dx g dx a (x) g(x) dx = E None of the given choices
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning