Integral of x^9 dx

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$$\int\limits_{0}^{1} x^{9}\, dx$$

Integral(x^9, (x, 0, 1))

Detail solution

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

$\int x^{9}\, dx = \frac{x^{10}}{10}$
Add the constant of integration:

$\frac{x^{10}}{10}+ \mathrm{constant}$

The answer is:

$\frac{x^{10}}{10}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /               
 |              10
 |  9          x  
 | x  dx = C + ---
 |              10
/

$$\int x^{9}\, dx = C + \frac{x^{10}}{10}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/10

$$\frac{1}{10}$$

1/10

$$\frac{1}{10}$$

1/10

Numerical answer [src]

0.1

0.1

The graph

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