Numerical integration using various methods such as Trapezoidal and Simpson’s methods.
Procedure
Enter the Function Select or type the desired mathematical function in the input box under “Function f(x)”.
Set the Integration Limits Provide the lower limit (a) and upper limit (b) within which the area under the curve will be calculated.
Choose the Number of Segments Specify the number of segments to divide the interval into. A higher number of segments generally increases accuracy.
Select the Numerical Integration Method Choose between Trapezoidal Rule or Simpson’s Rule from the integration method dropdown menu.
Simulate the Integration Click on the “Simulate” button to compute the approximate integral value.
View the Numerical Result The calculated value of the integral will be displayed on the right side under the “Result” section.
Analyze the Graph Observe the shaded region under the function plot to visually interpret the area being approximated.
Compare Method Accuracy (Optional) Repeat the experiment using a different method or a different number of segments to analyze the change in accuracy.