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x^(3/4)
Solving integrals/ 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
∫01x34 dx\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 n≠−1n \neq -1:

    ∫x34 dx=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   
/
∫x34 dx=C+4x747\int x^{\frac{3}{4}}\, dx = C + \frac{4 x^{\frac{7}{4}}}{7}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
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.

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