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Solving integrals/ x^(3/2)

Integral of x^(3/2) dx

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

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

Detail solution

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

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

$\frac{2 x^{\frac{5}{2}}}{5}+ \mathrm{constant}$

The answer is:

$\frac{2 x^{\frac{5}{2}}}{5}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

$${{2\,x^{{{5}\over{2}}}}\over{5}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

2/5

$${{2}\over{5}}$$

2/5

$$\frac{2}{5}$$

Simplify

Numerical answer [src]

0.4

0.4

The graph

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