Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 3.5 y = f(x) y = g(x) 1 0.5 1 2 3 4 5 (i) Evaluate | 9(f(t) +1)f'(t) dt. e6 In(#) · In(2) . g'(In(z)) dz. (ii) Evaluate e3 12 (iii) Evaluate f(G(2))g () dx.
Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 3.5 y = f(x) y = g(x) 1 0.5 1 2 3 4 5 (i) Evaluate | 9(f(t) +1)f'(t) dt. e6 In(#) · In(2) . g'(In(z)) dz. (ii) Evaluate e3 12 (iii) Evaluate f(G(2))g () dx.
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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1. Let F(x) = | f(t) dt and G(x) = |
g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below.
4
3.5
= f(x)
2
y = g(x)
1
0.5
2
3
5
c5
(i) Evaluate
| 9(f(t) +1)f'(t) dt.
g' (In(x)) daæ.
In(x) .
re6
(ii) Evaluate
e3
12
(iii) Evaluate
| f(G(x))g (5) dæ.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66236ce0-659d-43da-b40c-0a763743f18e%2Faf971858-ebfe-4355-954e-d5cef4ea5f67%2Fx09pi4e_processed.png&w=3840&q=75)
Transcribed Image Text:/2
1. Let F(x) = | f(t) dt and G(x) = |
g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below.
4
3.5
= f(x)
2
y = g(x)
1
0.5
2
3
5
c5
(i) Evaluate
| 9(f(t) +1)f'(t) dt.
g' (In(x)) daæ.
In(x) .
re6
(ii) Evaluate
e3
12
(iii) Evaluate
| f(G(x))g (5) dæ.
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