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x^(5/2)
Solving integrals/ x^(5/2)

Integral of x^(5/2) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   5/2   
 |  x    dx
 |         
/          
0
∫01x52 dx\int\limits_{0}^{1} x^{\frac{5}{2}}\, dx 
Integral(x^(5/2), (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:

    ∫x52 dx=2x727\int x^{\frac{5}{2}}\, dx = \frac{2 x^{\frac{7}{2}}}{7}

  2. Add the constant of integration:

    2x727+constant\frac{2 x^{\frac{7}{2}}}{7}+ \mathrm{constant}

The answer is:

2x727+constant\frac{2 x^{\frac{7}{2}}}{7}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                    
 |                  7/2
 |  5/2          2*x   
 | x    dx = C + ------
 |                 7   
/
2 x727{{2\,x^{{{7}\over{2}}}}\over{7}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
2/7
27{{2}\over{7}} 
=
= 
2/7
27\frac{2}{7}
Упростить
Numerical answer [src] 
0.285714285714286
0.285714285714286
The graph
Integral of x^(5/2) dx

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

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