Integral of x² dx

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$$\int\limits_{0}^{1} x^{2}\, dx$$

Simplify

Detail solution

The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :

$\int x^{2}\, dx = \frac{x^{3}}{3}$
Add the constant of integration:

$\frac{x^{3}}{3}+ \mathrm{constant}$

The answer is:

$\frac{x^{3}}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /              
 |              3
 |  2          x 
 | x  dx = C + --
 |             3 
/

$${{x^3}\over{3}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/3

$${{1}\over{3}}$$

1/3

$$\frac{1}{3}$$

Simplify

Numerical answer [src]

0.333333333333333

0.333333333333333

The graph

Use the examples entering the upper and lower limits of integration.