1. Which of the following statements is (are) true? I. If f is a function from [a, b] to R and F is any antiderivative of f, then So f(x)dx= F(b) - F(a). II. If f and g are both antiderivatives of a certain function, then f - g is a constant function. O I only O II only O Both I and II
1. Which of the following statements is (are) true? I. If f is a function from [a, b] to R and F is any antiderivative of f, then So f(x)dx= F(b) - F(a). II. If f and g are both antiderivatives of a certain function, then f - g is a constant function. O I only O II only O Both I and II
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Question 1
2 pts
1. Which of the following statements is (are) true?
I. If f is a function from [a, b] to R and F is any antiderivative of f, then f(x)dx = F(b) - F(a).
II. If f and g are both antiderivatives of a certain function, then f -g is a constant function.
O I only
O II only
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Both I and II
O None of them](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F895221d3-f28c-435d-a4de-10c317c60415%2F1d3b31eb-0054-4273-a46b-4cfec0b4e514%2Ftqdn0o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
2 pts
1. Which of the following statements is (are) true?
I. If f is a function from [a, b] to R and F is any antiderivative of f, then f(x)dx = F(b) - F(a).
II. If f and g are both antiderivatives of a certain function, then f -g is a constant function.
O I only
O II only
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Submit Quiz
No new data to save. Last checked at 8:02pm
Both I and II
O None of them
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