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Solving integrals/ x^(5/2)

Integral of x^(5/2) dx

You have entered [src]

$$\int\limits_{0}^{1} x^{\frac{5}{2}}\, dx$$

Integral(x^(5/2), (x, 0, 1))

Detail solution

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

$\int x^{\frac{5}{2}}\, dx = \frac{2 x^{\frac{7}{2}}}{7}$
Add the constant of integration:

$\frac{2 x^{\frac{7}{2}}}{7}+ \mathrm{constant}$

The answer is:

$\frac{2 x^{\frac{7}{2}}}{7}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                    
 |                  7/2
 |  5/2          2*x   
 | x    dx = C + ------
 |                 7   
/

$${{2\,x^{{{7}\over{2}}}}\over{7}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

2/7

$${{2}\over{7}}$$

2/7

$$\frac{2}{7}$$

Упростить

Numerical answer [src]

0.285714285714286

0.285714285714286

The graph

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