Let

F$($x$)=$x$4$exp$($t$2)($t$+8)($t$+1)$dt$.$

Find the derivative.

F$($x$)=$

equation editor

Equation Editor

Find the largest interval where we can use the Fundamental Theorem of Calculus to see that F$($x$)$ is differentiable.

The largest interval where F is differentiable is