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x^10
Solving integrals/ x^10

Integral of x^10 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1       
  /       
 |        
 |   10   
 |  x   dx
 |        
/         
0
∫01x10 dx\int\limits_{0}^{1} x^{10}\, dx 
Integral(x^10, (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:

    ∫x10 dx=x1111\int x^{10}\, dx = \frac{x^{11}}{11}

  2. Add the constant of integration:

    x1111+constant\frac{x^{11}}{11}+ \mathrm{constant}

The answer is:

x1111+constant\frac{x^{11}}{11}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
 |               11
 |  10          x  
 | x   dx = C + ---
 |               11
/
∫x10 dx=C+x1111\int x^{10}\, dx = C + \frac{x^{11}}{11}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/11
111\frac{1}{11} 
=
= 
1/11
111\frac{1}{11} 
1/11
Numerical answer [src] 
0.0909090909090909
0.0909090909090909
The graph
Integral of x^10 dx

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

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