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November 12th, 2009, 12:29 PM   #1
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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...
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November 12th, 2009, 01:36 PM   #2
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The Taylor series of around 0 is



Plug in the derivatives, and set
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