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Solving integrals/ x^13

Integral of x^13 dx

You have entered [src]

$$\int\limits_{0}^{1} x^{13}\, dx$$

Integral(x^13, (x, 0, 1))

Detail solution

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

$\int x^{13}\, dx = \frac{x^{14}}{14}$
Add the constant of integration:

$\frac{x^{14}}{14}+ \mathrm{constant}$

The answer is:

$\frac{x^{14}}{14}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                
 |               14
 |  13          x  
 | x   dx = C + ---
 |               14
/

$$\int x^{13}\, dx = C + \frac{x^{14}}{14}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/14

$$\frac{1}{14}$$

1/14

$$\frac{1}{14}$$

1/14

Numerical answer [src]

0.0714285714285714

0.0714285714285714

The graph

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