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Calculadora de área entre curvas

Encontre a área entre as curvas (sob uma curva) passo a passo

A calculadora tentará encontrar a área entre duas curvas ou logo abaixo de uma curva.

Enter functions:

Comma-separated, $$$y=f(x)$$$ or $$$x=g(y)$$$.

Enter a lower limit:

Leave empty for automatic determination. If you need `-oo`, type -inf.

Enter an upper limit:

Leave empty for automatic determination. If you need `oo`, type inf.

 One curve is above another on the given interval (don't check the points of intersection)

If for some functions the area can't be found, please write them in comments. The algorithm will be improved.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your input: find the area between the following curves $$$y = x^{2}$$$, $$$y = \sqrt{x}$$$ on the interval $$$\left(-\infty, \infty\right)$$$.

Answer

The area is $$$\frac{1}{3}\approx 0.333333333333333$$$.

For graphing the functions and the region, see graphing calculator (choose "Inequalities" from the dropdown menu).