Answered: In this problem, we will prove the…

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.

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