$($a$)$ Rewrite f$($x$)=$x$^(2)-3|$x$|$ as a piecewise function without the absolute value symbol.

$($b$)$ Use

desmos.com or similar software to look at a graph of f$($x$).$ Use this to sketch a graph

of an antiderivative of f$.$

$($c$)$ Estimate the area under the curve f$($x$)=$x$^(2)-3|$x$|$ on the interval $-2,4$ using six left$-$

handed rectangles of equal width.

$($d$)$ Use your answer from part $($a$)$ to write a formula for an antiderivative F$($x$)$ of f$.$ Then use

it to compute the exact change in F$($x$)$ over $-2,4.$