Q:

# What is trapezoidal approximation?

A:

Trapezoidal approximation involves the use of trapezoids to estimate the area covered by a definite integral. The interval of the curve on the x axis is partitioned into equal partitions that form the bases of trapezoids after which the integral is estimated by adding the areas of all the trapezoids.

## Keep Learning

The number of trapezoids used determines the accuracy of the approximation since increasing the number of trapezoids increases accuracy, and reducing them diminishes accuracy. Trapezoid approximation can also be obtained by averaging the left and right rectangle approximations for the integral. In most cases, the approximation of the midpoint rectangle sums is twice as good as the trapezoidal approximation.

Sources:

## Related Questions

• A: Counting from 1 to 1,000 using Roman numerals requires the use of seven different symbols: I, V, X, L, C, D and M. Numbers are formed by combining the symb... Full Answer >
Filed Under:
• A: A linear foot is a simple measurement of length or distance, whereas a square foot is a measurement of area. To determine the number of square feet of an a... Full Answer >
Filed Under:
• A: Pi is used to find the circumference and area of a circle. It is also used to find the volume and surface area of a sphere, cone and cylinder. Pi has appli... Full Answer >
Filed Under:
• A: The basic four types of quadrilaterals are squares, rectangles, parallelograms and trapezoids. A quadrilateral is any shape that has four sides and four ve... Full Answer >
Filed Under:
PEOPLE SEARCH FOR