The f(x)=(1/2)x^3-2x+3
Use the limit definition of area to find the area of the region betweeen the graph of the function and the x-axis on the given interval, [1,3]

Question

The f(x)=(1/2)x^3-2x+3
Use the limit definition of area to find the area of the region betweeen the graph of the function and the x-axis on the given  interval, [1,3]

owlfred · Answer

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anonymous · Answer

hmmm

anonymous · Answer

do you have a hint or notes on this

watchmath · Answer

Divide the interval [1,3] into n intervals each of length 2/n. Then the area is given by
$\lim_{n\to\infty}\sum_{i=1}^nf\left(1+\frac{2i}{n}\right)\frac{2}{n}$