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x^12
Solving integrals/ x^12

Integral of x^12 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1       
  /       
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 |   12   
 |  x   dx
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/         
0
∫01x12 dx\int\limits_{0}^{1} x^{12}\, dx 
Integral(x^12, (x, 0, 1))
Detail solution

  1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

    ∫x12 dx=x1313\int x^{12}\, dx = \frac{x^{13}}{13}

  2. Add the constant of integration:

    x1313+constant\frac{x^{13}}{13}+ \mathrm{constant}

The answer is:

x1313+constant\frac{x^{13}}{13}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
 |               13
 |  12          x  
 | x   dx = C + ---
 |               13
/
∫x12 dx=C+x1313\int x^{12}\, dx = C + \frac{x^{13}}{13}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/13
113\frac{1}{13} 
=
= 
1/13
113\frac{1}{13} 
1/13
Numerical answer [src] 
0.0769230769230769
0.0769230769230769
The graph
Integral of x^12 dx

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

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