Approximating Area Using Rectangles - Concept

Concept Concept (1)

When finding the area under a curve for a region, it is often easiest to approximate area using a summation series. This approximation is a summation of areas of rectangles. The rectangles can be either left-handed or right-handed and, depending on the concavity, will either overestimate or underestimate the true area.

Sample Sample Problems (3)

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Approximating Area Using Rectangles - Problem 1
Problem 1
How to estimate the area between a curve, f = 12/x, and the x-axis with left- and right-hand sums of rectangles.
Approximating Area Using Rectangles - Problem 2
Problem 2
How to estimate the area under a curve, f = x^2 +1, with left- and right-hand sums.
Approximating Area Using Rectangles - Problem 3
Problem 3
How to estimate the area under a curve, f = x^2 +1, with a greater number of left and right hand sums of rectangles.