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7. Let ƒ : [1, 2] → R be defined by f(x) = X. ; x+1 0 ≤ x ≤ 1 1≤ x ≤ 2 (a) Explain why f is Riemann integrable on [1,2]. (b) Determine explicitly the function F(x) = f f(t) dt for x = [0, 2].

7. Let ƒ : [1, 2] → R be defined by f(x) = X. ; x+1 0 ≤ x ≤ 1 1≤ x ≤ 2 (a) Explain why f is Riemann integrable on [1,2]. (b) Determine explicitly the function F(x) = f f(t) dt for x = [0, 2].

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 4CR
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7. Let f [1, 2] → R be defined by x, {+₁1 √x+1 f(x) = 0≤x≤1 ¹≤x≤2 1 (a) Explain why f is Riemann integrable on [1,2]. (b) Determine explicitly the function F(x) = f f(t) dt for x = [0, 2].
Transcribed Image Text:7. Let f [1, 2] → R be defined by x, {+₁1 √x+1 f(x) = 0≤x≤1 ¹≤x≤2 1 (a) Explain why f is Riemann integrable on [1,2]. (b) Determine explicitly the function F(x) = f f(t) dt for x = [0, 2].
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