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x^(3/2)
Solving integrals/ x^(3/2)

Integral of x^(3/2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   3/2   
 |  x    dx
 |         
/          
0
∫01x32 dx\int\limits_{0}^{1} x^{\frac{3}{2}}\, dx 
Integral(x^(3/2), (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:

    ∫x32 dx=2x525\int x^{\frac{3}{2}}\, dx = \frac{2 x^{\frac{5}{2}}}{5}

  2. Add the constant of integration:

    2x525+constant\frac{2 x^{\frac{5}{2}}}{5}+ \mathrm{constant}

The answer is:

2x525+constant\frac{2 x^{\frac{5}{2}}}{5}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                    
 |                  5/2
 |  3/2          2*x   
 | x    dx = C + ------
 |                 5   
/
2 x525{{2\,x^{{{5}\over{2}}}}\over{5}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
2/5
25{{2}\over{5}} 
=
= 
2/5
25\frac{2}{5}
Simplify
Numerical answer [src] 
0.4
0.4
The graph
Integral of x^(3/2) dx

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

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