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x*(x-1)^1/2

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

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src]
  1               
  /               
 |                
 |      _______   
 |  x*\/ x - 1  dx
 |                
/                 
0                 
$$\int\limits_{0}^{1} x \sqrt{x - 1}\, dx$$
Integral(x*sqrt(x - 1*1), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                  
 |                                3/2             5/2
 |     _______          2*(-1 + x)      2*(-1 + x)   
 | x*\/ x - 1  dx = C + ------------- + -------------
 |                            3               5      
/                                                    
$${{2\,\left(x-1\right)^{{{5}\over{2}}}}\over{5}}+{{2\,\left(x-1 \right)^{{{3}\over{2}}}}\over{3}}$$
The graph
The answer [src]
4*I
---
 15
$${{4\,i}\over{15}}$$
=
=
4*I
---
 15
$$\frac{4 i}{15}$$
Numerical answer [src]
(0.0 + 0.266666666666667j)
(0.0 + 0.266666666666667j)
The graph
Integral of x*(x-1)^1/2 dx

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