Integral of x⁷ dx

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$$\int\limits_{0}^{1} x^{7}\, dx$$

Integral(x^7, (x, 0, 1))

Detail solution

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

$\int x^{7}\, dx = \frac{x^{8}}{8}$
Add the constant of integration:

$\frac{x^{8}}{8}+ \mathrm{constant}$

The answer is:

$\frac{x^{8}}{8}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /              
 |              8
 |  7          x 
 | x  dx = C + --
 |             8 
/

$${{x^8}\over{8}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/8

$${{1}\over{8}}$$

1/8

$$\frac{1}{8}$$

Simplify

Numerical answer [src]

0.125

0.125

The graph

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