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Math Help - Maclaurin series

  1. #1
    jwu
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    Maclaurin series

    The function of defined by f(x)=1/(1+x). The Maclaurin series for f is given by 1-x+x^6-x^9+...+(-1)^n x^3n+...,
    which converges to f(x) for -1<x<1.

    Find the first four nonzero terms and the general term for the Maclaurin series representing ∫ f(t) from 0 to x.

    Thank you, guys!
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  2. #2
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    Quote Originally Posted by jwu View Post
    The function of defined by f(x)=1/(1+x). The Maclaurin series for f is given by 1-x+x^6-x^9+...+(-1)^n x^3n+...,
    which converges to f(x) for -1<x<1.

    Find the first four nonzero terms and the general term for the Maclaurin series representing ∫ f(t) from 0 to x.

    Thank you, guys!
    so do it ...

    \int_0^x 1-t^3+t^6-t^9+ ... \, \,dt<br />
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