Find the power series for f(x)=ln(1x3)\displaystyle {f{{\left({x}\right)}}}={\ln{{\left({1}-{x}^{{3}}\right)}}} centered at x=0\displaystyle {x}={0} by using term-by-term integration or differentiation.

 f(x)=n=1\displaystyle {f{{\left({x}\right)}}}={\sum_{{{n}={1}}}^{{\infty}}}