Theorem 4.27 says that if f [a, b] → R is Riemann integrable then f² [a, b] → : 3 R is Riemann integrable. Does the converse hold? Explain your answer.

Linear Algebra: A Modern Introduction
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Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
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5. Theorem 4.27 says that if ƒ : [a, b] → R is Riemann integrable then ƒ² : [a, b] →
R is Riemann integrable. Does the converse hold? Explain your answer.
Transcribed Image Text:5. Theorem 4.27 says that if ƒ : [a, b] → R is Riemann integrable then ƒ² : [a, b] → R is Riemann integrable. Does the converse hold? Explain your answer.
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