Trapezoidal Rule Calculator


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Introduction to the Trapezoidal Rule Calculator

The Trapezoid Calculator is an online tool to calculate the area under the curve. It helps students, mathematicians, teachers, and researchers. The calculator is freely available on the “INTEGRAL CALCULATOR” website. The trapezium rule calculator gives authentic and accurate results. This calculator gives faster results in a fraction of a second. The trapezoidal approximation calculator takes the input and gives the output solution in no time.

Definition of Trapezoid Rule Calculator

The trapezoidal Calculator calculates the area under the curve and divides it into small trapezoids instead of dividing the area into small rectangles. It also works like the Reimann rule calculator. Both calculators work on evaluating the area under the curve. The trapezoidal method calculator uses the Trapezoid rule; in this rule, the area under the curve is divided into small trapezoids.

trapezoidal rule calculator with steps

Formula used by Trapezoidal Rule Formula Calculator

The trapezoidal rule calculator with steps calculates the area by step-by-step instructions. The trapezium calculator has a user-friendly interface. This online calculator uses the following formula:

$$ Area \;=\; \int_a^b y dx \;=\; \frac{1}{2} h[y_0 + 2(y_1+y_2+y_3+...+y_{n-1})+y_n] $$


$$ h \;=\; \frac{b-a}{n} $$

The same formula is used by this trapezoid rule integral calculator to approximate the area for a specific trapezoid.

How does Trapezoidal Approximation Calculator Work?

The trapezoid rule calculator is easy to use, and its steps are simple. It helps the user to find the area by dividing the curve into small trapezoids.

The trapezium rule calculator follows the following steps:

Step # 1: Enter the required values in the given fields i.e. function, interval, and limits in the fields.

Step # 2: After putting the values, click on the button “Calculate” to get the area.

Step # 3: After calculating the area under the curve, use the trapezoid rule, which will be displayed on your device screen.

How to Find Trapezoidal Calculator?

To find the trapezoidal rule calculator for calculating the area under the curve. By using the following steps, you can get this calculator online

  • First of all, open your default browser's home screen.
  • Enter the calculator keywords "trapezoid rule calculator" in the search bar.
  • Now, wait for your search results to appear on your screen.
  • Now select the Integral Calculator website from Google results to get the Trapezoidal Rule Integral Calculator.

After opening the app from the website, click on the Trapezoidal Rule Formula Calculator to evaluate your problem. Now, add the values in the required fields to get the results.

Benefits of Trapezoidal Method Calculator

The Trapezoid Rule Calculator with the table has the following benefits:

  • Trapezium Rule Calculator will calculate the problems in just a few minutes and solve the functions step by step.
  • It is a time-saving tool that may provides you accurate results.
  • It keeps you away from long and hectic manual calculations.
  • The Trapezoid Rule Integral Calculator evaluates the different finite function limits.
  • It gives you the results in graphical representations.
  • This trapezoidal method calculator is used to find definite integrals.
  • The results of the trapezoidal rule integral calculator are reliable.
  • Trapezoidal rule calculator with steps has a friendly user interface.

Frequently Asked Question

Why do we use the Trapezoidal Rule?

The trapezoidal rule evaluates the area under the curves by dividing them into small trapezoids. The Trapezoidal Rule Integral Calculator calculates the area by approximating the area under the parabola graph of a function as a trapezoid.

Is the Trapezoidal Rule accurate?

The trapezoidal rule uses function values at equally-spaced points. It is accurate for those integrals over given intervals but is usually entirely wrong in non-periodic cases.

How will you improve the accuracy of the trapezoidal rule?

The trapezoidal rule is based on the approximation of definite integral using the First Order Polynomial. This Trapezoid rule is mainly used for finding the approximation value between certain integral limits. The accuracy is increased by increasing the number of segments/trapezoids in the trapezium method.

How to Find the Area of an Isosceles Trapezoid without finding the Height?

If the height of the trapezoid is not given and all its sides are given, then we can divide the trapezoid into two congruent right triangles and a rectangle and find the area of the trapezoid without height.