In this problem, we will prove the Fundamental Theorem of Calculus part 2 by using the definition of the integral. Theorem 1. Let a, b = R and a
In this problem, we will prove the Fundamental Theorem of Calculus part 2 by using the definition of the integral. Theorem 1. Let a, b = R and a
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![In this problem, we will prove the Fundamental Theorem of Calculus part 2 by using the definition of
the integral.
Theorem 1. Let a, b = R and a <b. If ƒ is differentiable on [a, b] and f' is integrable on [a, b], then
[° f'(x)dr = f(b) − f(a)
-
Hint: you may need to use the MVT theorem in your proof.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4893c46-a94c-4c81-a9fc-277ce07300a6%2Fa9a59cb5-3391-4b62-8416-936b53236296%2Fs32b0ln_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In this problem, we will prove the Fundamental Theorem of Calculus part 2 by using the definition of
the integral.
Theorem 1. Let a, b = R and a <b. If ƒ is differentiable on [a, b] and f' is integrable on [a, b], then
[° f'(x)dr = f(b) − f(a)
-
Hint: you may need to use the MVT theorem in your proof.
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