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Solving integrals/ x^10

Integral of x^10 dx

You have entered [src]

$$\int\limits_{0}^{1} x^{10}\, dx$$

Integral(x^10, (x, 0, 1))

Detail solution

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

$\int x^{10}\, dx = \frac{x^{11}}{11}$
Add the constant of integration:

$\frac{x^{11}}{11}+ \mathrm{constant}$

The answer is:

$\frac{x^{11}}{11}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                
 |               11
 |  10          x  
 | x   dx = C + ---
 |               11
/

$$\int x^{10}\, dx = C + \frac{x^{11}}{11}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/11

$$\frac{1}{11}$$

1/11

$$\frac{1}{11}$$

1/11

Numerical answer [src]

0.0909090909090909

0.0909090909090909

The graph

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