Let $F(x)={\displaystyle \underset{0}{\overset{x}{}}}\frac{2-t}{t^2+5}dt$ for $xFx=$FUFFFUFF$-$

$(a)$ Find the value $ofx$ where $F$ obtains its maximum value.

$x=$

$(b)$ Find the intervals over which $Fis$ only increasing $or$ decreasing. Use interval notation using $U$ for union and enter "none" $ifno$ interval.

Intervals where $Fis$ increasing:

Intervals where $Fis$ decreasing:

$(c)$ Find open intervals over which $Fis$ only concave $upor$ concave down. Use interval notation using $U$ for union and enter "none" $ifno$ interval.

Intervals where $Fis$ concave $up$:

Intervals where $Fis$ concave down: