Problem 5E

a Estimate the area under the graph of f(x)=1+x2 from x=1 to x=2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles. b Repeat part a using left endpoints. c Repeat part a using midpoints. d From your sketches in parts (a)(c), which appears to be the best estimate?

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