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July 1st, 2017, 04:36 AM  #1 
Newbie Joined: Jul 2017 From: UK Posts: 1 Thanks: 0  Definite integral via Taylor/MacLaurin series
Hello Over what range may I calculate definite integrals via these series'. For instance, a Maclaurin series is 'centred' around x = 0 and the function will have its best 'fit' at x = 0; surely this will make integrals over a wide range of x (say between 0 and 1000) inaccurate? I cannot seem to find any information on this. Hope it makes sense! Thanks 
July 1st, 2017, 01:39 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,256 Thanks: 507 
It very much depends on the nature of the the function. In any case, it will be a question of how fast the integrated series converges.


Tags 
definite, integral, series, taylor or maclaurin 
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