Solution) (a) Approximate the definite integral ∫_1^5{x^2dx} by using a regular partition of [1, 2] with n


Question: (a) Approximate the definite integral \(\int\limits_{1}^{5}{{{x}^{2}}dx}\) by using a regular partition of [1, 2] with n = 4 subintervals, using the midpoint.

(b) What is the actual value of \(\int\limits_{1}^{5}{{{x}^{2}}dx}\) ?

(c) What is the percentage error in your answer in part (a) compared to part (b)?

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