Integral of x⁸ dx

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$$\int\limits_{0}^{1} x^{8}\, dx$$

Integral(x^8, (x, 0, 1))

Detail solution

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

$\int x^{8}\, dx = \frac{x^{9}}{9}$
Add the constant of integration:

$\frac{x^{9}}{9}+ \mathrm{constant}$

The answer is:

$\frac{x^{9}}{9}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /              
 |              9
 |  8          x 
 | x  dx = C + --
 |             9 
/

$$\int x^{8}\, dx = C + \frac{x^{9}}{9}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/9

$$\frac{1}{9}$$

1/9

$$\frac{1}{9}$$

1/9

Numerical answer [src]

0.111111111111111

0.111111111111111

The graph

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