Question: We estimate integrals using Taylor polynomials. 1/2 Find the fourth Maclaurin polynomial T4 for f(x) = ex, and calculate I = = 5 T4(x) dx

We estimate integrals using Taylor polynomials.

1/2 Find the fourth Maclaurin polynomial T4 for f(x) = ex, and calculate I = = 5 T4(x) dx as an estimate 1/2

1/2 Find the fourth Maclaurin polynomial T4 for f(x) = ex, and calculate I = = 5 T4(x) dx as an estimate 1/2 for Se dx. A CAS yields the value 1 0.461281. How large is the error in your approximation? T4 is obtained by substituting -x in the second Maclaurin polynomial for e*.

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