In Exercises 1-6, find the integral, given that f f(x) dx = 8, f(f(x))² dx = 12, g(1) dt = 2, and f(g(t))² dt = 3. 2. fcf(z) dz 1. f(f(x) + g(x)) dx 3. ((f(x))²-(g(x))²) dx 4. f(f(x))2² dx-( f(x) dx)² 5. (c₁g(x) + (c₂f (x))²) dx 6. f(x-5) dx rb+5 la+5

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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I still do not understand how to interpret theorems about definite integral into actual exercises. Please do question 1, 3, 5 as examples while explaining the concepts. Thank you!

In Exercises 1-6, find the integral, given that få f(x) dx =
8, f(f(x))² dx = 12, g(1) dt = 2, and f(g(t))² dt = 3.
2. f cf(z) dz
1. f(f(x) + g(x)) dx
3. ((f(x))² – (g(x))²) dx
4. f(f(x))² dx-( f(x) dx)²
5. (c₁g(x) + (c₂f (x))²) dx
rb+5
6. + f(x-5) dx
a+s
Transcribed Image Text:In Exercises 1-6, find the integral, given that få f(x) dx = 8, f(f(x))² dx = 12, g(1) dt = 2, and f(g(t))² dt = 3. 2. f cf(z) dz 1. f(f(x) + g(x)) dx 3. ((f(x))² – (g(x))²) dx 4. f(f(x))² dx-( f(x) dx)² 5. (c₁g(x) + (c₂f (x))²) dx rb+5 6. + f(x-5) dx a+s
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