Trapezoid Rule
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Trapezoid Rule means we place trapezoids under the function to estimate the integral.
Scenario: Given the function and its corresponding graph below, estimate the area under the curve from x = 0 to x = 20 using the Trapezoid Rule with 4 trapezoids.
PRO TIP: We're using Trapezoid Rule here, so the top side of each trapezoid will border the function as close as possible!
base = b - a / n
b is the upper bound of x = 20.
a is the lower bound of x = 0.
n is the number of trapezoids we're using, which is 4.
base = 20 - 0 / 4
base = (20) / 4
base = 5
Answer: Using the Trapezoid Rule with 4 trapezoids, we can estimate the area under f(x) from x = 0 to x = 20 to be 168.75.