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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 $$$x = 0$$$.
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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)