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x^(1/4)
Solving integrals/ x^(1/4)

Integral of x^(1/4) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |  4 ___   
 |  \/ x  dx
 |          
/           
0
∫01x4 dx\int\limits_{0}^{1} \sqrt[4]{x}\, dx 
Integral(x^(1/4), (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:

    ∫x4 dx=4x545\int \sqrt[4]{x}\, dx = \frac{4 x^{\frac{5}{4}}}{5}

  2. Add the constant of integration:

    4x545+constant\frac{4 x^{\frac{5}{4}}}{5}+ \mathrm{constant}

The answer is:

4x545+constant\frac{4 x^{\frac{5}{4}}}{5}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                     
 |                   5/4
 | 4 ___          4*x   
 | \/ x  dx = C + ------
 |                  5   
/
∫x4 dx=C+4x545\int \sqrt[4]{x}\, dx = C + \frac{4 x^{\frac{5}{4}}}{5}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
4/5
45\frac{4}{5} 
=
= 
4/5
45\frac{4}{5} 
4/5
Numerical answer [src] 
0.8
0.8
The graph
Integral of x^(1/4) dx

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

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