Integral Area Calculator

How to Use the Integral Area Calculator

This guide will help you navigate the Integral Area Calculator effectively, explaining each input field and the steps necessary to calculate the area under the curve of a given mathematical function.

Step 1: Set the Bounds

• Lower Bound (a): Enter the lower limit of integration in this field. This value must be a number and is required. You can input decimal values with a step of 0.1.
• Upper Bound (b): Enter the upper limit of integration here. Like the lower bound, this is a mandatory numeric entry with a decimal step of 0.1.

Step 2: Select the Function Type

Choose the type of function for which you want to calculate the integral area. The options include:

• Linear (ax + b)
• Quadratic (ax² + bx + c)
• Cubic (ax³ + bx² + cx + d)

This selection is necessary as it determines the required coefficients and the integration formula used.

Step 3: Enter Coefficients

Depending on the function type selected, enter the coefficients:

• Coefficient a: Required for all function types. Enter the value as a number, with a decimal step of 0.1.
• Coefficient b: Necessary for linear, quadratic, and cubic functions. Input as a number with a decimal precision of 0.1.
• Coefficient c: Required for quadratic and cubic functions. Enter as a numeric value with a 0.1 step.
• Coefficient d: Only needed if the chosen function is cubic. Provide this as a number with a 0.1 decimal step.

Step 4: Calculate the Result

Once all fields are completed, the calculator automatically computes the results:

• Integral Area: This is the calculated area under the curve between the specified bounds. The output is given as a number with four decimal places, followed by “square units”.
• Definite Integral: Displays the absolute value of the Integral Area, formatted similarly with four decimal precision and “square units”.

Use these steps to accurately determine the area under the curve for your chosen function and understand the integration specifics of different mathematical expressions. Ensure all necessary fields are correctly filled to obtain valid results.