Question
Asked Dec 6, 2019
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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. 

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Expert Answer

Step 1

The given function is,

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F(x) = 0.2(x - 3)°(x+ 1) over the interval [-1,2]

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Step 2

The length of the sub-intervals and the function is computed as follows,

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b-a Дr 3 п 3 Дх: п 3i =-1+ х, п

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Step 3

The formula for computing the a...

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[0.2(x - 3)° (x +1) đx = lim f(x;') ax i=1 3i |(0. S(0.2x -x* + 0.6x +1.8) d = lim S -1+- C i=1 -1

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Tagged in

Math

Calculus

Functions