use a calculator to estimate the area under the curve using left Riemann sums with terms, then use substitution to solve for the exact answer.

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Prashanthi KandimallaLv10

14 Dec 2020

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Related questions

Use the calculator to

estimate the area under the curve by computing

the average of the left-and right-endpoint Riemann sums using N=10 rectangles.

Then, using the Fundamental Theorem of Calculus, part 2, determine the exact area.

blushmammoth625

Answer question parts a-d below. Give answers correct to the tenths.

(a) Use Riemann Sums to approximate area under the curve of f(x) = x² + 4 from 0 to 4 using 4 left rectangles.
(b) Use Riemann Sums to approximate area under the curve of f(x) = x² + 4 from 0 to 4 using 4 right rectangles.
(c) Using the sum of the left and right rectangles, find the average area.
(d) Find the value of the exact area using the integral.

In the following exercises, graph the function then use a calculator or a computer program to evaluate the following left and right endpoint sums. Is the area under the curve between the left and the right endpoint sums?