Question
(a) Approximate the area of the region beneath the graph of f(x) = e−x2, from x...
(a) Approximate the area of the region beneath the graph of f(x) = e−x2, from x = −1 to x = 1 using (i) four left rectangles, (ii) four right rectangles, and (iii) four midpoint rectangles (answer with 3 decimal points).
(b) The actual area, to nine decimal places, of the region beneath the graph of f(x) = e−x2 is 1.493648266. Which of the approximations found in part (a) is the most accurate?
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Answer #1
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