Required information

Consider the integral:

$I={\displaystyle \underset{0}{\overset{8}{}}}(-0\mathrm{.}055x^4+0\mathrm{.}86x^3-4\mathrm{.}2x^2+6\mathrm{.}3x+2)dx$

Evaluate the given integral analytically. $(Round$ the final answer $to$ three decimal places.$)$

The integral value $I=|$