(a) Use a calculator or computer to find 6 0 (x 2 1) dx Represent this value as the area under a curve (b) Estimate 6 0 (x 2 1) dx using a left hand sum with n 3 Represent this sum graphically on a sketch of f(x) x 2 1 Is this sum an overestimate or underestimate of the true value found in part (a) (c) Estimate 6 0 (x 2 1) dx using a right hand sum with n 3 Represent this sum on your sketch Is this sum an overestimate or underestimate

Question: (a) Use a calculator or computer to find 6 0 (x 2 +1) dx. Represent this value as the area under a curve. (b)

(a) Use a calculator or computer to find ∫⁶₀ (x² +1) dx. Represent this value as the area under a curve.
(b) Estimate ∫⁶₀ (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 ∫⁶₀ (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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