$13\mathrm{.}5\mathrm{.}37$

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Use the definite integral to find the area between the $x-$axis and $f(x)$ over the indicated interval. Check first to see if the graph crosses the $x-$axis in the given interval.

$f(x)=25-x^2$;$[0,10]$

The area between the $x-$axis and $f(x)$ is $$

$($Simplify your answer. Type an integer or an improper fraction.$)$