26. Assume that f is continuous and f(x) dx = 12. Find %3D f(x³)x² 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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#26
In(x+1)
dx
0.58e0.2x
dx
20.
21.
1+ e0.2x
roblems; one
ot. As you
n substitu-
x +1
5,000e0.21 dt
e0.21+ 10
12
*Vx-1 dx
22.
23.
(e -e dx
-1/2 dt
24.
25. Find
) de
esin x cos x dx
26. Assume that f is continuous and f(x) dx = 12.
Find
%3D
dt
| F(x*)x² dx
27. Assume that f is continuous and f f(2x) dx = –3.
Find
12
| f(x) dx
dx
Level 2 APPLIED AND THEORY PROBLEMS
5dx
28. In Example 7, U.S. population growth was modeled
by
dx
389.2 31
P(t) =
e0.23 4
millions of individuals
where t is decades after 1790. If each person eats
food at a rate of one ration per year, find the total
number of rations of food eaten in the United Stat
between 1800 and 1900.
29. Assume that a dust mite population starts with
of 100.3t dust m
Transcribed Image Text:In(x+1) dx 0.58e0.2x dx 20. 21. 1+ e0.2x roblems; one ot. As you n substitu- x +1 5,000e0.21 dt e0.21+ 10 12 *Vx-1 dx 22. 23. (e -e dx -1/2 dt 24. 25. Find ) de esin x cos x dx 26. Assume that f is continuous and f(x) dx = 12. Find %3D dt | F(x*)x² dx 27. Assume that f is continuous and f f(2x) dx = –3. Find 12 | f(x) dx dx Level 2 APPLIED AND THEORY PROBLEMS 5dx 28. In Example 7, U.S. population growth was modeled by dx 389.2 31 P(t) = e0.23 4 millions of individuals where t is decades after 1790. If each person eats food at a rate of one ration per year, find the total number of rations of food eaten in the United Stat between 1800 and 1900. 29. Assume that a dust mite population starts with of 100.3t dust m
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