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Definite Integrals

Definite Integrals

Trapezoid Sum with Shortcuts Exercises

Example 1

Let . Use a trapezoid sum with 4 sub-intervals to estimate the area between the graph of f and the x-axis on [1, 3].

Example 2

Let g(x) = 3x + 2. Use a trapezoid sum with 3 sub-intervals to estimate the area between the graph of g and the x-axis on [0, 6].

Example 3

Values of the function f are given in the table below. Use a trapezoid sum with 8 sub-intervals to estimate the area between f and the x-axis on [2, 10].

Example 4

Values of the function f are shown in the table below. Use a trapezoid sum with the sub-intervals suggested by the table to estimate the area between f and the x-axis on [0, 10].

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