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Solving integrals/ x^(2/3)*dx

Integral of x^(2/3)*dx dx

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$$\int\limits_{0}^{1} x^{\frac{2}{3}}\, dx$$

Integral(x^(2/3), (x, 0, 1))

Detail solution

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

$\int x^{\frac{2}{3}}\, dx = \frac{3 x^{\frac{5}{3}}}{5}$
Add the constant of integration:

$\frac{3 x^{\frac{5}{3}}}{5}+ \mathrm{constant}$

The answer is:

$\frac{3 x^{\frac{5}{3}}}{5}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                    
 |                  5/3
 |  2/3          3*x   
 | x    dx = C + ------
 |                 5   
/

$$\int x^{\frac{2}{3}}\, dx = C + \frac{3 x^{\frac{5}{3}}}{5}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

3/5

$$\frac{3}{5}$$

3/5

$$\frac{3}{5}$$

3/5

Numerical answer [src]

0.6

0.6

The graph

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