(a) Write down the Maclaurin series for the function f(x) = sinx and hence that for...
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(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. (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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