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 II. If f and g are both antiderivatives of a certain function, then f - g is a constant function. None of them Both I and II I only Oll only Cº f(x) dx = F(b) - F(a).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
icon
Related questions
Question
100%

Multiple Choice. Please Choose the correct answer. No long explanation needed.

1.2

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
II. If f and g are both antiderivatives of a certain function, then f - g is a constant function.
None of them
Both I and II
I only
Oll only
Cº f(x) dx = F(b) - F(a).
Transcribed Image Text: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 II. If f and g are both antiderivatives of a certain function, then f - g is a constant function. None of them Both I and II I only Oll only Cº f(x) dx = F(b) - F(a).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax