Integral of x⁴ dx

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$$\int\limits_{0}^{1} x^{4}\, dx$$

Integral(x^4, (x, 0, 1))

Detail solution

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

$\int x^{4}\, dx = \frac{x^{5}}{5}$
Add the constant of integration:

$\frac{x^{5}}{5}+ \mathrm{constant}$

The answer is:

$\frac{x^{5}}{5}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /              
 |              5
 |  4          x 
 | x  dx = C + --
 |             5 
/

$$\int x^{4}\, dx = C + \frac{x^{5}}{5}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/5

$$\frac{1}{5}$$

1/5

$$\frac{1}{5}$$

1/5

Numerical answer [src]

0.2

0.2

The graph

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