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Solving integrals/ sqrt(2y-y^2)*y

Integral of sqrt(2y-y^2)*y dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2                   
  /                   
 |                    
 |     __________     
 |    /        2      
 |  \/  2*y - y  *y dy
 |                    
/                     
0
$$\int\limits_{0}^{2} y \sqrt{- y^{2} + 2 y}\, dy$$ 
Integral(sqrt(2*y - y^2)*y, (y, 0, 2))
The answer (Indefinite) [src] 
  /                                                
 |                            /                    
 |    __________             |                     
 |   /        2              |     _____________   
 | \/  2*y - y  *y dy = C +  | y*\/ -y*(-2 + y)  dy
 |                           |                     
/                           /
$$\int y \sqrt{- y^{2} + 2 y}\, dy = C + \int y \sqrt{- y \left(y - 2\right)}\, dy$$
Simplify
Numerical answer [src] 
1.5707963267949
1.5707963267949

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

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