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xsqrt(1-x)
Solving integrals/ xsqrt(1-x)

Integral of xsqrt(1-x) dx

Limits of integration:

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v

The graph:

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Piecewise:

The solution

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

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

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