## What is a trapezoidal rule calculator?

The trapezoidal rule is one of the families
of formulas used for numerical integration usually introduced
during first-year calculus. In the field of mathematics involving
statistical analysis, the trapezoidal rule is a technique that is
utilized to approximate values of definite integrals. The key to
implementing trapezoidal rule calculator is assuming the area of
the integral, ie. the area under the graph to be a trapezoid.

## How to use the trapezoidal rule calculator?

Assuming the area under the graph to be a
trapezoid, the approximate value of the integral can be calculated
using the following formula:

For a more accurate approximation,
partitioning of the integral sum can be done, and then the
trapezoidal rule can be applied to each subinterval and finally
summed to obtain the result.

## What is a trapezoidal Rule?

This rule is an approximate method to find the value of definite
integrals, thus introducing some minor errors in our results. For
finding errors in the approximation, we need to find an upper bound
on the second derivative throughout integration, which is a hectic
task. However, with time, graphing devices such as a graphing
calculator has been developed which can be used easily by anyone to
find the upper bound and hence estimate the approximate error of
the integral.

Trapezoidal rule error is of high importance. It can be calculated using the given formula:

## Types of Integration Approximation calculator

- Midpoint Rule calculator
- Trapezoidal Rule calculator
- Left Rectangular Approximation Calculator
- Right Rectangular Approximation Calculator
- Approximation Calculator