# Use: F(x)=0.2((x - 3)^{2})(x + 1), bounded by the x axis, over [-1,2] Use the limit definition of Riemman Sum to find the earea shaded beneath the curve, round to 3 decimal places.

Use:
bounded by the x axis, over [-1,2]
Use the limit definition of Riemman Sum to find the earea shaded beneath the curve, round to 3 decimal places.
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Brighton
Step 1
The length of the sub-intervals and the function is computed as follows,

Step 2
The formula for computing the area under the curve is,

Step 3
Thus, the area of the function, using the limit definition of Riemann sum is,

$=0$