Question 3. Part A. Findda by evaluating the limit of a Riemann sum. Check your answer againstwhat you get using area formulas from geometryPart 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) that03 72without taking further limits of Riemann sums (and without using the Fundamental Theoremof Calculus, i.e., without using the idea that definite integrals can be evaluated via antideriva-tives).

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Asked Apr 25, 2019
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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).
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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).

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Expert Answer

Step 1

To calculate the provided definite integral by using the result that was calculated in Part A. and Part B. The value of the integral in Part A. and Part B was calculated by Riemann sum. Now, first convert the provided definite integral in Part C in the form of Part A. and Part B.

Step 2

According to the formula of Riemann sum by limit is shown below,

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Step 3

Now, calculate the value of Part A. by Riemann sum and the provided definit...

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