# Find area and estimate with finite sums

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Consider the function f(x) = x^2 + 2 on the closed interval [1, 6]. Using rectangles, use n = 10 and calculate the approximate area between the function f and the x axis on the interval [1, 5]. Use left endpoints in the following.

1. Find the change in x for each sub-interval.

2. Find f(1); f(1.5); f(2); f(2.5); f(3) . . . , f(5.5)

3. Find the area of each of the ten rectangles.

4. Find the sum of the areas of all ten rectangles to estimate the area under the curve.

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This solution determines area and estimates with finite sums.

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