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x^(4/5)
Solving integrals/ x^(4/5)

Integral of x^(4/5) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   4/5   
 |  x    dx
 |         
/          
0
∫01x45 dx\int\limits_{0}^{1} x^{\frac{4}{5}}\, dx 
Integral(x^(4/5), (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:

    ∫x45 dx=5x959\int x^{\frac{4}{5}}\, dx = \frac{5 x^{\frac{9}{5}}}{9}

  2. Add the constant of integration:

    5x959+constant\frac{5 x^{\frac{9}{5}}}{9}+ \mathrm{constant}

The answer is:

5x959+constant\frac{5 x^{\frac{9}{5}}}{9}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                    
 |                  9/5
 |  4/5          5*x   
 | x    dx = C + ------
 |                 9   
/
∫x45 dx=C+5x959\int x^{\frac{4}{5}}\, dx = C + \frac{5 x^{\frac{9}{5}}}{9}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
5/9
59\frac{5}{9} 
=
= 
5/9
59\frac{5}{9} 
5/9
Numerical answer [src] 
0.555555555555556
0.555555555555556
The graph
Integral of x^(4/5) dx

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

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