How to Use the Left Endpoint Approximation Calculator

Step 1: Enter the Function

Begin by inputting the mathematical function you want to integrate. Use standard mathematical notation, replacing “x” with your variable.

Step 2: Define the Integration Bounds

Enter the lower bound (a) and upper bound (b) of the integral in the respective input fields. These values determine the interval over which the integral will be approximated.

Step 3: Specify the Number of Intervals

Input the number of intervals (n) you want to use for the approximation. A higher number of intervals generally leads to a more accurate approximation, but may increase computation time.

Step 4: Calculate the Approximation

Click the “Calculate” button to initiate the computation. The calculator will use the left endpoint method to approximate the integral.

Step 5: Interpret the Results

Review the output displayed in the result section. You’ll see:

• The approximate value of the integral
• An explanation of the calculation method
• Step-by-step calculations showing the function evaluation at each left endpoint

If possible, an estimated error comparing the approximation to a more precise numerical integration

Step 6: Refine Your Approximation (Optional)

If you’re not satisfied with the accuracy, you can increase the number of intervals and recalculate. Compare the new result with the previous one to see how the approximation improves.

By following these steps, you can effectively use the Left Endpoint Approximation Calculator to estimate definite integrals and gain insight into the numerical integration process.