Integral of x⁶ dx

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$$\int\limits_{0}^{1} x^{6}\, dx$$

Integral(x^6, (x, 0, 1))

Detail solution

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

$\int x^{6}\, dx = \frac{x^{7}}{7}$
Add the constant of integration:

$\frac{x^{7}}{7}+ \mathrm{constant}$

The answer is:

$\frac{x^{7}}{7}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /              
 |              7
 |  6          x 
 | x  dx = C + --
 |             7 
/

$${{x^7}\over{7}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/7

$${{1}\over{7}}$$

1/7

$$\frac{1}{7}$$

Simplify

Numerical answer [src]

0.142857142857143

0.142857142857143

The graph

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