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Lab.Chapter$5.$Su$.$O$.$ADA.pdf

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$5.(10$ pt $.)$ For the function, find a formula for the Riemann sum obtained by dividing the interval $a,b$ into $n$ subintervals and using the right$-$hand endpoints for each $x_i.$ Then take a limit of these sums as $n$ to calculate the area under the curve over $a,b.$ Sketch a diagram of the region.

$f(x)=x^2-x^3,[-1,0]$

Step $1$: Sketch and label a graph of the region.

Step $2$: $x=$

Step $3$: $x_i=$

Step $4$: Area $=$