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.

Comma-separated. x-axis is $$$y = 0$$$, y-axis is $$$x = 0$$$.
Optional.
Optional.
If you are using approximate/decimal values and the calculator cannot find a solution, use exact values or rewrite the decimals as fractions.

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

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

$$$S = \frac{1}{3}$$$

Answer

$$$S = \frac{1}{3}\approx 0.333333333333333$$$A

Region bounded by y = x^2, y = sqrt(x)