We know from integral calculus, by using substitution, that:

$\backslash$int $($x$^(2))/(4+$x$^(3))$dx$=(1)/(3)$ln$(4+$x$^(3))+$C

Prove this antiderivative is still correct when using Maclaurin series representations

in place of the functions.

Evaluate by series, and simplify the series formula as much as possible:

$\backslash$int $($e$^($x$)-$x$-1)/($x$^(2))$dx