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

Integral of x^2/sqrt(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |     2    
 |    x     
 |  ----- dx
 |    ___   
 |  \/ x    
 |          
/           
0
$$\int\limits_{0}^{1} \frac{x^{2}}{\sqrt{x}}\, dx$$ 
Integral(x^2/sqrt(x), (x, 0, 1))
Detail solution

  1. Let .

    Then let and substitute :

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    Now substitute back in:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                     
 |                      
 |    2              5/2
 |   x            2*x   
 | ----- dx = C + ------
 |   ___            5   
 | \/ x                 
 |                      
/
$$\int \frac{x^{2}}{\sqrt{x}}\, dx = C + \frac{2 x^{\frac{5}{2}}}{5}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2/5
$$\frac{2}{5}$$ 
=
= 
2/5
$$\frac{2}{5}$$ 
2/5
Numerical answer [src] 
0.4
0.4
The graph
Integral of x^2/sqrt(x) dx

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

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