Question 5 Find approximations for -3x* + 10x² dx by computing Riemann sums. In each case, use the sample points indicated with 4 equally-spaced rectangles. (a) the left Riemann sum (left endpoint) (b) the right Riemann sum (right endpoint) (c) the upper Riemann sum (maximum)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 5
Find approximations for
| -3x* + 10x² dx
by computing Riemann sums. In each case, use the sample points indicated with 4 equally-spaced rectangles.
(a) the left Riemann sum (left endpoint)
(b) the right Riemann sum (right endpoint)
(c) the upper Riemann sum (maximum)
(d) the lower Riemann sum (minimum)
Hint: for one or more of these, it might help to know that the roots of the polynomial –12x³ + 20x are – J3, 0, and J§.
Transcribed Image Text:Question 5 Find approximations for | -3x* + 10x² dx by computing Riemann sums. In each case, use the sample points indicated with 4 equally-spaced rectangles. (a) the left Riemann sum (left endpoint) (b) the right Riemann sum (right endpoint) (c) the upper Riemann sum (maximum) (d) the lower Riemann sum (minimum) Hint: for one or more of these, it might help to know that the roots of the polynomial –12x³ + 20x are – J3, 0, and J§.
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