Question: (a) Evaluate the integral [sin x dx by first finding the Maclaurin approximation to the integrand with 3 terms. (b) Evaluate the integral exactly

(a) Evaluate the integral [sin x dx by first finding the Maclaurin

(a) Evaluate the integral [sin x dx by first finding the Maclaurin approximation to the integrand with 3 terms. (b) Evaluate the integral exactly and compare. (c) The x8 fourth term in the Maclaurin expansion of sinx is Confirm that your estimate of the integral is consistent with the alternating series estimation theorem. 315

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