Area Between Two Curves Calculator

The area between two curves calculator is a free online tool that gives the area occupied within two curves. BYJU’S online area between two curves calculator tool makes the calculations faster, and it displays the result in a fraction of seconds.

How to Use the Area Between Two Curves Calculator?

The procedure to use the area between the two curves calculator is as follows:

Step 1: Enter the smaller function, larger function and the limit values in the given input fields

Step 2: Now click the button “Calculate Area” to get the output

Step 3: Finally, the area between the two curves will be displayed in the new window

What is the Area Between Two Curves?

The area between two curves can be determined by computing the difference between the definite integrals of two functions. In a two-dimensional geometry, the area is a quantity that expresses the region occupied by the two-dimensional figure. Two functions are required to find the area, say f(x) and g(x), and the integral limits from a to b (b should be greater than a) of the function, that represent the curve.

Standard Form

The standard formula to calculate the area between two curves is given as follows:

If P : y = f(x) and Q : y = g(x) and x1 and x2 are the two limits, then the formula is,

Area Between Two Curves,

$$\begin{array}{l}A = \int_{x_{1}}^{x_{2}}[f(x)-g(x)]\end{array}$$

Frequently Asked Questions on Area Between Two Curves

What is the area between the two curves?

The area between the two curves is defined as the total region occupied between the two curves in the coordinate plane.

Can the area between the two curves be negative?

If both the curves lie under the x-axis, then the area between two curves will be negative. However, the net signed value is taken as the final answer.

How do you determine the area between the two curves?

The area between the two curves can be calculated by taking absolute difference of the definite integrals between the two functions.