Determine whether the following statements are true or false. Give a brief explanation. (a) If f(x) is concave up on [a, b], the left-endpoint approximation LN is an underestimate of the value of ff(x) dx. (b) Let f(x) be continuous. Then f(x) has more than one antiderivative. (c) By the FTC part 1, 2 L², ²-de = Intel ₁ = ln |2| − In | − 1| = ln(2).

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Determine whether the following statements are true or false. Give a brief explanation.
(a) If f(x) is concave up on [a, b], the left-endpoint approximation LN is an underestimate of the
value of ff(x) dx.
(b) Let f(x) be continuous. Then f(x) has more than one antiderivative.
(c) By the FTC part 1,
2
1²1-de-Inlal1/₁
dr
de = ln |x| = ln |2| − ln | − 1| = ln(2).
Transcribed Image Text:Determine whether the following statements are true or false. Give a brief explanation. (a) If f(x) is concave up on [a, b], the left-endpoint approximation LN is an underestimate of the value of ff(x) dx. (b) Let f(x) be continuous. Then f(x) has more than one antiderivative. (c) By the FTC part 1, 2 1²1-de-Inlal1/₁ dr de = ln |x| = ln |2| − ln | − 1| = ln(2).
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