### Home > CALC3RD > Chapter Ch5 > Lesson 5.4.1 > Problem 5-147

5-147.

A function * *is continuous over the interval

Using the sub-intervals

, and , what is the trapezoidal approximation of ? **The Trapezoid Rule**The Trapezoid Rule can be used to approximate the area under a curve if the widths,

, of all trapezoids are of equal size: Over which sub-interval is the average slope a minimum?

I.

II.

III.

Test all answer choices and choose the lowest value. Recall that average slope is akin to saying average rate of change (AROC).