(a) Graph the function f(x) = e –x2, – 2

(a) Graph the function f(x) = e –x2, – 2 < x < 2.
(b) Estimate the area under the graph of f using four approximating rectangles and taking the sample points to be
(i) Right endpoints (ii) midpoints
In each case sketch the curve and the rectangles.
(c) Improve your estimates in part (b) by using eight rectangles.



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