Area between Curves Calculator

Find area between curves (under one curve) step by step

The calculator will try to find the area between two or three curves, or just under one curve, with steps shown.

Curves:

Comma-separated. x-axis is $$$y = 0$$$, y-axis is $$$x = 0$$$.

Lower limit:

Optional.

Upper limit:

Optional.

If you are using periodic functions and the calculator cannot find a solution, try to specify the limits. If you don't know the exact limits, specify wider limits that contain the region (see example). Use the graphing calculator to determine the limits.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Your Input

Find the area of the region bounded by the curves $$$y = x^{2}$$$, $$$y = \sqrt{x}$$$.

Solution

$$$\int\limits_{0}^{1} \left(\left(\sqrt{x}\right) - \left(x^{2}\right)\right)\, dx = \frac{1}{3}\approx 0.333333333333333$$$

Total area: $$$A = \frac{1}{3}$$$.

Answer

Total area: $$$A = \frac{1}{3}\approx 0.333333333333333$$$A.