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November 12th, 2009, 01:29 PM  #1 
Newbie Joined: Nov 2009 Posts: 1 Thanks: 0  Taylor series & trigonometric functions
Hello everyone, Im working on some homework atm, and Im unsure about this question: Find the first three terms of the Taylor's series for sin(x^{2}) . Using this approximation to estimate the integral  its the integral from 3 to 0, of the function sin(x^2). I know how to do the taylor series but when im entering the my answer, the web app says its wrong. Is the first term, f(a) at zero not cos(0)? Then I figured that if they're asking for the taylor series of an integral, then the derivative of a functions integral is that function, so I tried entering sin(3) but its still wrong. Any help here would be appreciated thanks... 
November 12th, 2009, 02:36 PM  #2 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 
The Taylor series of around 0 is Plug in the derivatives, and set 

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functions, series, taylor, trigonometric 
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