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Suppose that f is integrable on [a, b] and g is integrable on [b, c]. Let f(x) x [a,b) h: [a, c] → R be defined by f(x)=2022 x=b g(x) x (b, c] Prove that h is integrable on [a, c] and find its integral.

Suppose that f is integrable on [a, b] and g is integrable on [b, c]. Let f(x) x [a,b) h: [a, c] → R be defined by f(x)=2022 x=b g(x) x (b, c] Prove that h is integrable on [a, c] and find its integral.

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.
Chapter8: Further Techniques And Applications Of Integration
Section8.1: Numerical Integration
Problem 21E
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Suppose that f is integrable on [a, b] and g is integrable on [b, c]. Let f(x) x [a,b) h: [a, c] → R be defined by f(x)=2022 x=b g(x) x (b, c] Prove that h is integrable on [a, c] and find its integral.
Transcribed Image Text:Suppose that f is integrable on [a, b] and g is integrable on [b, c]. Let f(x) x [a,b) h: [a, c] → R be defined by f(x)=2022 x=b g(x) x (b, c] Prove that h is integrable on [a, c] and find its integral.
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