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Estimate 251+x2dx\int _ { 2 } ^ { 5 } 1 + x ^ { 2 } d x

Question 223

Essay

Estimate 251+x2dx\int _ { 2 } ^ { 5 } 1 + x ^ { 2 } d x using three approximating rectangles and taking the sample points to be left endpoints. Use a picture to explain why your estimation is an overestimate or an underestimate.

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