Find a power series representation for the function. $($Give your power series representation centered at

x $=0.)$

g$($x$)=$

x$6/(1+$ x$^7)$

g$($x$)=$

n $=0$

$$

Use a power series to approximate the definite integral, I, to six decimal places.

$0\mathrm{.}4$

x$^6/(1+$ x$^7)$

$$dx$0$

I $=$