$2$: Let f$($x$)=$ x$^25$x $6$ and F$($x$)=$ Z x $0$ f$($t$)$ dt$.$ a$.$ Use the Fundamental Theorem of Calculus part II to find F $0($x$).$ b$.$ Find the critical points of F and determine whether they are local minima or local maxima. c$.$ Find the points of inflection of F and determine the concavity of F$.$