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Solving integrals/ x^12

Integral of x^12 dx

You have entered [src]

$$\int\limits_{0}^{1} x^{12}\, dx$$

Integral(x^12, (x, 0, 1))

Detail solution

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

$\int x^{12}\, dx = \frac{x^{13}}{13}$
Add the constant of integration:

$\frac{x^{13}}{13}+ \mathrm{constant}$

The answer is:

$\frac{x^{13}}{13}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                
 |               13
 |  12          x  
 | x   dx = C + ---
 |               13
/

$$\int x^{12}\, dx = C + \frac{x^{13}}{13}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/13

$$\frac{1}{13}$$

1/13

$$\frac{1}{13}$$

1/13

Numerical answer [src]

0.0769230769230769

0.0769230769230769

The graph

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