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Solving integrals/ x^5

Integral of x^5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   5   
 |  x  dx
 |       
/        
0
∫01x5 dx\int\limits_{0}^{1} x^{5}\, dx 
Integral(x^5, (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:

    ∫x5 dx=x66\int x^{5}\, dx = \frac{x^{6}}{6}

  2. Add the constant of integration:

    x66+constant\frac{x^{6}}{6}+ \mathrm{constant}

The answer is:

x66+constant\frac{x^{6}}{6}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /              
 |              6
 |  5          x 
 | x  dx = C + --
 |             6 
/
∫x5 dx=C+x66\int x^{5}\, dx = C + \frac{x^{6}}{6}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/6
16\frac{1}{6} 
=
= 
1/6
16\frac{1}{6} 
1/6
Numerical answer [src] 
0.166666666666667
0.166666666666667
The graph
Integral of x^5 dx

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

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