Which statement is not necessarily true? ob ·b ["* (f(x) + g(x))da = ["® f(x)da + [* 9(a)dr a a a - 100 a "(c f(x))dx = c ſª* f(x)dx a Olf f(x) ≥ g(x), Vx = [a, b], then [² f(² a f(x) dx :> a g(x) dx b b b ["* (ƒ · 9)(x)}dx = ( ["* f(x)dx) ( [*g(z)dz) a a a .b | Sª* f(x) dx | ≤ S* |ƒ(2) da dx a a
Which statement is not necessarily true? ob ·b ["* (f(x) + g(x))da = ["® f(x)da + [* 9(a)dr a a a - 100 a "(c f(x))dx = c ſª* f(x)dx a Olf f(x) ≥ g(x), Vx = [a, b], then [² f(² a f(x) dx :> a g(x) dx b b b ["* (ƒ · 9)(x)}dx = ( ["* f(x)dx) ( [*g(z)dz) a a a .b | Sª* f(x) dx | ≤ S* |ƒ(2) da dx a a
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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Question
![Which statement is not necessarily true?
ob
·b
["* (f(x) + g(x))da = ["® f(x)da + [* 9(a)dr
a
a
a
-
100
a
"(c f(x))dx = c ſª* f(x)dx
a
Olf f(x) ≥ g(x), Vx = [a, b], then
[² f(²
>
a
2) 6 ] =
f(x) dx
g(x) dx
b
b
b
["* (1 · 9) (x) dx = ( [* f(x)dx) ( ["* 9(x)dx)
a
a
a
| S" f(x) dx| ≤ f " | (2) | dx
a
a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49dd86f5-e3e4-495a-9b19-f3d039df6a7c%2Fbe7e6278-88c2-4ee6-8a06-903da7a82637%2Ffy49dwk_processed.png&w=3840&q=75)
Transcribed Image Text:Which statement is not necessarily true?
ob
·b
["* (f(x) + g(x))da = ["® f(x)da + [* 9(a)dr
a
a
a
-
100
a
"(c f(x))dx = c ſª* f(x)dx
a
Olf f(x) ≥ g(x), Vx = [a, b], then
[² f(²
>
a
2) 6 ] =
f(x) dx
g(x) dx
b
b
b
["* (1 · 9) (x) dx = ( [* f(x)dx) ( ["* 9(x)dx)
a
a
a
| S" f(x) dx| ≤ f " | (2) | dx
a
a
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