Tools

Numerical integration using various methods such as Trapezoidal and Simpson’s methods.

Procedure

  1. Open the simulation interface for the numerical integration experiment.

  2. Enter the mathematical function to be integrated along with the lower and upper limits of integration.

  3. Specify the number of sub-intervals or the step size to divide the integration range into evenly spaced intervals.

  4. Select the numerical integration method from the available options:

  • Trapezoidal Rule

  • Simpson’s Rule

  1. Click the Submit button to perform numerical integration using the selected method.

  2. Observe the numerical value of the definite integral displayed as output.

  3. Compare the integral values obtained using the Trapezoidal Rule and Simpson’s Rule for the same function and interval.

  4. Analyze how the choice of method and the number of sub-intervals affect the accuracy of the numerical integration result.

  5. Repeat the experiment by varying the step size or number of sub-intervals to study convergence of the integral value.

  6. Record the observations and draw conclusions regarding the relative accuracy and efficiency of the Trapezoidal and Simpson’s methods.