# 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*) = 3*x* + 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 *g* are shown in the table below. Use a trapezoid sum with the sub-intervals suggested by the table to estimate the area between *g* and the
*x*-axis on [0,10].