2. Let f I→ R be Riemann integrable on I = [a, b], a, b = R, a

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2. Let f I→ R be Riemann integrable on I = [a, b], a, b = R, a ≤ b, and let F be an an-
tiderivative of f on I. Use the Fundamental Theorem of Calculus to show that for any partition
TL
P = {x0, 71..., In} of I, Ż\F(x₁) = F(ak-1)| ≤ | * |f (x)| dr.
-
k=1
Transcribed Image Text:2. Let f I→ R be Riemann integrable on I = [a, b], a, b = R, a ≤ b, and let F be an an- tiderivative of f on I. Use the Fundamental Theorem of Calculus to show that for any partition TL P = {x0, 71..., In} of I, Ż\F(x₁) = F(ak-1)| ≤ | * |f (x)| dr. - k=1
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