Integral of x^1 dx

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

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

Detail solution

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

$\int x^{1}\, dx = \frac{x^{2}}{2}$
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
 |  1          x 
 | x  dx = C + --
 |             2 
/

$${{x^2}\over{2}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/2

$${{1}\over{2}}$$

1/2

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

Упростить

Numerical answer [src]

0.5

0.5

The graph

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