Integral of × dx

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

Integral(x, (x, 0, 1))

Detail solution

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

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

$\frac{x^{2}}{2}+ \mathrm{constant}$

The answer is:

$\frac{x^{2}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

$$\int x\, dx = C + \frac{x^{2}}{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/2

$$\frac{1}{2}$$

1/2

$$\frac{1}{2}$$

1/2

Numerical answer [src]

0.5

0.5

The graph

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