This area between two curves calculator helps you determine the space enclosed by two graphs with just a few clicks.
Area Between Two Curves Calculator
This calculator helps you to find the area between two curves defined by the functions f(x) and g(x) over the interval [a, b]. It’s designed to perform numerical integration to approximate the area between the curves.
How to Use the Calculator
Enter the equations for the upper and lower functions in the respective fields. The functions should be written in terms of x using standard mathematical operations. For example, x^2 for x squared, x*3 for x times 3, etc. Then, input the lower and upper limits of the interval over which you want to calculate the area. Press “Calculate” to obtain the result.
How It Calculates
The calculator uses a numerical approximation method to estimate the area between the two curves. It does so by dividing the area into thin vertical slices and summing up the areas of these slices. Each slice has a width of a small value dx, and the height is calculated by taking the difference between the values of f(x) and g(x) at that point. The sum of these small areas gives an approximate value of the total area.
Limitations
Since this calculator uses numerical methods to approximate the area, the result may not be exact. The accuracy depends on the value of dx, the smaller the dx, the more accurate but more computationally intensive the calculation will be. Also, ensure that the functions entered are continuous and defined over the given interval to avoid incorrect results.