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 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 pol...

We estimate integrals using Taylor polynomials. 1/2 Find the fourth Maclaurin polynomial T4 for f(x) = ex,

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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

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 08:04 AM

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We estimate integrals using Taylor polynomials. 1/2 Find the fourth Maclaurin polynomial T4 for f(x) = ex,

Question:

1/2 Find the fourth Maclaurin polynomial T4 for f(x) = ex², and calculate I = = 5¹² 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 -x² in the second Maclaurin polynomial for e*.

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