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Solving integrals/ x^(1/2)*lnx

Integral of x^(1/2)*lnx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |    ___          
 |  \/ x *log(x) dx
 |                 
/                  
0
$$\int\limits_{0}^{1} \sqrt{x} \log{\left(x \right)}\, dx$$ 
Integral(sqrt(x)*log(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                            
 |                          3/2      3/2       
 |   ___                 4*x      2*x   *log(x)
 | \/ x *log(x) dx = C - ------ + -------------
 |                         9            3      
/
$$\int \sqrt{x} \log{\left(x \right)}\, dx = C + \frac{2 x^{\frac{3}{2}} \log{\left(x \right)}}{3} - \frac{4 x^{\frac{3}{2}}}{9}$$
Simplify
The answer [src] 
-4/9
$$- \frac{4}{9}$$ 
=
= 
-4/9
$$- \frac{4}{9}$$ 
-4/9
Numerical answer [src] 
-0.444444444444444
-0.444444444444444

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

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