Consider the following. ² (x +3 - 3) dx Select all that apply. The integral represents the area between f(x)=x+3, the y-axis, y=0 and y=2. The integral represents the area between f(x)=x+3, the x-axis, x=0 and x=2. The integral is positive. The integral is negative. The integral is 8. The integral is -8.

Calculus: Early Transcendentals
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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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The value of \(\int_a^b f(x) \, \mathrm{d}x\) must be positive.

- ○ True
- ○ False
Transcribed Image Text:The value of \(\int_a^b f(x) \, \mathrm{d}x\) must be positive. - ○ True - ○ False
Consider the following integral:

\[
\int_{0}^{2} (x + 3) \, dx
\]

Select all that apply:

- [ ] The integral represents the area between \( f(x) = x + 3 \), the y-axis, \( y = 0 \), and \( y = 2 \).
- [ ] The integral represents the area between \( f(x) = x + 3 \), the x-axis, \( x = 0 \), and \( x = 2 \).
- [ ] The integral is positive.
- [ ] The integral is negative.
- [ ] The integral is 8.
- [ ] The integral is -8.
Transcribed Image Text:Consider the following integral: \[ \int_{0}^{2} (x + 3) \, dx \] Select all that apply: - [ ] The integral represents the area between \( f(x) = x + 3 \), the y-axis, \( y = 0 \), and \( y = 2 \). - [ ] The integral represents the area between \( f(x) = x + 3 \), the x-axis, \( x = 0 \), and \( x = 2 \). - [ ] The integral is positive. - [ ] The integral is negative. - [ ] The integral is 8. - [ ] The integral is -8.
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