The function of defined by f(x)=1/(1+x³). The Maclaurin series for f is given by 1-x³+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.
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