(a) Evaluate the integral [sin x dx by first finding the Maclaurin approximation to the integrand...
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(a) Evaluate the integral [sin² 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 sin²x is Confirm that your estimate of the integral is consistent with the alternating series estimation theorem. 315 (a) Evaluate the integral [sin² 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 sin²x is Confirm that your estimate of the integral is consistent with the alternating series estimation theorem. 315
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