Question 3. Part A. Find da by evaluating the limit of a Riemann sum. Check your answer against what you get using area formulas from geometry Part B. Find Jo 2 da by evaluating the limit of a Riemann sum. Part C. Using your answers to Parts A and B, and the textbook's discovery (in Example 5.7) that 0 3 7 2 without taking further limits of Riemann sums (and without using the Fundamental Theorem of Calculus, i.e., without using the idea that definite integrals can be evaluated via antideriva- tives).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Question 3. Part A. Find
da by evaluating the limit of a Riemann sum. Check your answer against
what you get using area formulas from geometry
Part B. Find Jo 2 da by evaluating the limit of a Riemann sum.
Part C. Using your answers to Parts A and B, and the textbook's discovery (in Example 5.7) that
0
3 7
2
without taking further limits of Riemann sums (and without using the Fundamental Theorem
of Calculus, i.e., without using the idea that definite integrals can be evaluated via antideriva-
tives).
Transcribed Image Text:Question 3. Part A. Find da by evaluating the limit of a Riemann sum. Check your answer against what you get using area formulas from geometry Part B. Find Jo 2 da by evaluating the limit of a Riemann sum. Part C. Using your answers to Parts A and B, and the textbook's discovery (in Example 5.7) that 0 3 7 2 without taking further limits of Riemann sums (and without using the Fundamental Theorem of Calculus, i.e., without using the idea that definite integrals can be evaluated via antideriva- tives).
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