Which of the following is/are true? A. If F(x) and G(x) are antiderivatives of f(x), then F(x) = G(x) +C. B. S f(x)g(x)dx = S f(x)dx ƒ g(x)dx c. If f'(x) = g(x), then f g(x)dx = f(x)+c. D. The antiderivative of f(x) is unique. E. The value of f(x)dx must be positive. F. If the norm of a partition approaches 0, then the number of subintervals approaches infinity. а. all except B O b. A, B, C, E only Ос. А, С, F only O d. A, C, E, F only е. none of the choices

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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Which of the following is/are true?
A. If F(x) and G(x) are antiderivatives of f(x), then F(x)= G(x) +C .
B. S f(x)g(x)dx = S f(x)dx [ g(x)dx
c. If f'(x) = g(x), then f g(x)dx = f(x)+c.
D. The antiderivative of f(x) is unique.
E. The value of f(x)dx must be positive.
F. If the norm of a partition approaches 0, then the number of subintervals approaches infinity.
а. all except B
O b. A, B, C, E only
O c. A, C, F only
O d. A, C, E, F only
е.
none of the choices
Transcribed Image Text:Which of the following is/are true? A. If F(x) and G(x) are antiderivatives of f(x), then F(x)= G(x) +C . B. S f(x)g(x)dx = S f(x)dx [ g(x)dx c. If f'(x) = g(x), then f g(x)dx = f(x)+c. D. The antiderivative of f(x) is unique. E. The value of f(x)dx must be positive. F. If the norm of a partition approaches 0, then the number of subintervals approaches infinity. а. all except B O b. A, B, C, E only O c. A, C, F only O d. A, C, E, F only е. none of the choices
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