Question
let 0 1 x a r c t a n ( x ) d x (a) Find the Taylor polynomial of order 2, P2(x), about
let
01xarctan(x)dx
(a) Find the Taylor polynomial of order 2, P2(x), about x=0 for the function arctan(x).
(b) Use Lagrange's formula for the remainder R2(x)=arctan(x)-P2(x) to show hat
01xarctan(x)dx01xP2(x)dx91
(c) Hence calculate I with an error up to 1/9.
(a
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Precalculus
Authors: Leonard J Brooks, Karla Neal, R David Gustafson, Jeff Hughes
1st Edition
1133712673, 9781133712671
