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Solving integrals/ x^(4/5)

Integral of x^(4/5) dx

You have entered [src]

$$\int\limits_{0}^{1} x^{\frac{4}{5}}\, dx$$

Integral(x^(4/5), (x, 0, 1))

Detail solution

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

$\int x^{\frac{4}{5}}\, dx = \frac{5 x^{\frac{9}{5}}}{9}$
Add the constant of integration:

$\frac{5 x^{\frac{9}{5}}}{9}+ \mathrm{constant}$

The answer is:

$\frac{5 x^{\frac{9}{5}}}{9}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                    
 |                  9/5
 |  4/5          5*x   
 | x    dx = C + ------
 |                 9   
/

$$\int x^{\frac{4}{5}}\, dx = C + \frac{5 x^{\frac{9}{5}}}{9}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

5/9

$$\frac{5}{9}$$

5/9

$$\frac{5}{9}$$

5/9

Numerical answer [src]

0.555555555555556

0.555555555555556

The graph

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