Choose the letter(s) of the correct answer. Choose E if none of the choices corresponds to the correct answer. Suppose f (x) is the integrand and F(x) + c is the antiderivative. How can one check if the answer obtained from integration is correct? A. Use differentiation such that F'(x) + c is equal to f(x). B. Differentiate F(x) + c and check if the answer is f (x)dx. c. Solve for f'(x) and it should be equal to F(x) + c. D. If and only if F(x) + c exists at all domain of f (x).

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Choose the letter(s) of the correct answer. Choose E if none of the choices corresponds to the correct answer.
Suppose f (x) is the integrand and F(x) + c is the antiderivative. How can one check if the answer obtained from
integration is correct?
A. Use differentiation such that F'(x) + c is equal to f(x).
B. Differentiate F(x) +c and check if the answer is f(x)dx.
C. Solve for f' (x) and it should be equal to F(x) + c.
D. If and only if F(x) + c exists at all domain of f (x).
Transcribed Image Text:Choose the letter(s) of the correct answer. Choose E if none of the choices corresponds to the correct answer. Suppose f (x) is the integrand and F(x) + c is the antiderivative. How can one check if the answer obtained from integration is correct? A. Use differentiation such that F'(x) + c is equal to f(x). B. Differentiate F(x) +c and check if the answer is f(x)dx. C. Solve for f' (x) and it should be equal to F(x) + c. D. If and only if F(x) + c exists at all domain of f (x).
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