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

Integral of x^(3/2)ln(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |   3/2          
 |  x   *log(x) dx
 |                
/                 
0
$$\int\limits_{0}^{1} x^{\frac{3}{2}} \log{\left(x \right)}\, dx$$ 
Integral(x^(3/2)*log(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                           
 |                         5/2      5/2       
 |  3/2                 4*x      2*x   *log(x)
 | x   *log(x) dx = C - ------ + -------------
 |                        25           5      
/
$$\int x^{\frac{3}{2}} \log{\left(x \right)}\, dx = C + \frac{2 x^{\frac{5}{2}} \log{\left(x \right)}}{5} - \frac{4 x^{\frac{5}{2}}}{25}$$
Simplify
Numerical answer [src] 
-0.16
-0.16

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

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