(a) Use a calculator or computer to find - 6 0 (x2 + 1) dx. Represent this value as the

Chapter 5, Problem 39

(choose chapter or problem)

(a) Use a calculator or computer to find - 6 0 (x2 + 1) dx. Represent this value as the area under a curve. (b) Estimate - 6 0 (x2 + 1) dx using a left-hand sum with n = 3. Represent this sum graphically on a sketch of f(x) = x2 + 1. Is this sum an overestimate or underestimate of the true value found in part (a)? (c) Estimate - 6 0 (x2+1) dx using a right-hand sum with n = 3. Represent this sum on your sketch. Is this sum an overestimate or underestimate?

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