Exploring Calculus by Crista Arangala & Karen A. Yokley

Author:Crista Arangala & Karen A. Yokley
Language: eng
Format: epub
Publisher: CRC Press

FTC - Part II

The Fundamental Theorem of Calculus - Part II states that if f(x) is a continuous function on [a,b], then .

Exercises II:

a. Let . First calculate by integrating and taking the derivative. Then compare your answer to what you would get using FTC - Part II.

b. Calculate . What is the difference between this result and the result from part a.?

c. Calculate . Using what you found here and in part b. make a conjecture about .

d. Calculate . Using what you found here and in part c. make a conjecture about .

e. Use FTC - Part II to determine .

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