Question: (a) Write down the Maclaurin series for the function f(x) = sinx and hence that for sin x f(x)= X . (b) Use this

(a) Write down the Maclaurin series for the function f(x) = sinx

(a) Write down the Maclaurin series for the function f(x) = sinx and hence that for sin x f(x)= X . (b) Use this series to find an approximate value of the integral sin x dx by keeping the first three terms in the Maclaurin series. (c) Estimate the X 0 error made in evaluating this integral in this way. (d) Confirm your answer by numerically evaluating the integral on your GDC.

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