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x^(3/4)

Integral of x^(3/4) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |   3/4   
 |  x    dx
 |         
/          
0          
01x34dx\int\limits_{0}^{1} x^{\frac{3}{4}}\, dx
Integral(x^(3/4), (x, 0, 1))
Detail solution
  1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n1n \neq -1:

    x34dx=4x747\int x^{\frac{3}{4}}\, dx = \frac{4 x^{\frac{7}{4}}}{7}

  2. Add the constant of integration:

    4x747+constant\frac{4 x^{\frac{7}{4}}}{7}+ \mathrm{constant}


The answer is:

4x747+constant\frac{4 x^{\frac{7}{4}}}{7}+ \mathrm{constant}

The answer (Indefinite) [src]
  /                    
 |                  7/4
 |  3/4          4*x   
 | x    dx = C + ------
 |                 7   
/                      
x34dx=C+4x747\int x^{\frac{3}{4}}\, dx = C + \frac{4 x^{\frac{7}{4}}}{7}
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
The answer [src]
4/7
47\frac{4}{7}
=
=
4/7
47\frac{4}{7}
4/7
Numerical answer [src]
0.571428571428571
0.571428571428571
The graph
Integral of x^(3/4) dx

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