Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
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If f and g are integrable, then .
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A. False. The indefinite integral of a difference of two integrable functions is not equal to the difference of their indefinite integrals. The indefinite integral of a constant multiple of a function is equal to the constant multiple of the indefinite integral of the function.
B. True. The indefinite integral of a difference of two integrable functions is equal to the difference of their indefinite integrals. The indefinite integral of a constant multiple of a function is equal to the constant multiple of the indefinite integral of the function.


Answer: B

Mathematics

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