TRAPEZOIDAL APPROXIMATIONS
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As in the first section, let's review some basic concepts of Geometry:
Understanding the Geometry involved is essential to applying the concepts of Calculus. In the previous section, we used rectangles and Riemann Sums to approximate the area under curves.
In this section, we'll use trapezoidal regions to help us approximate these areas.
Let's add up the areas of the trapezoidal regions:
The area approximation is 112 units. Look in the previous section - what other approximation was equal to this one?
QUESTIONS TO CONSIDER
- Once the area from x = 0 to x = 3 was determined, how could you determine the area from x = 0 to x = 6? Under which conditions is this appropriate?
- Is a trapezoidal approximation the same as a Midpoint Riemann Sum?
let's go on to Average Value of Functions
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