Integral of x5 dx

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 |  x5 d(x5)
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$$\int\limits_{0}^{1} x_{5}\, dx_{5}$$

Integral(x5, (x5, 0, 1))

Detail solution

The integral of $x_{5}^{n}$ is $\frac{x_{5}^{n + 1}}{n + 1}$ when $n \neq -1$ :

$\int x_{5}\, dx_{5} = \frac{x_{5}^{2}}{2}$
Add the constant of integration:

$\frac{x_{5}^{2}}{2}+ \mathrm{constant}$

The answer is:

$\frac{x_{5}^{2}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                 2
 |                x5 
 | x5 d(x5) = C + ---
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$$\int x_{5}\, dx_{5} = C + \frac{x_{5}^{2}}{2}$$

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.