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Solving integrals/ sqrt(4x-x^2)

Integral of sqrt(4x-x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |     __________   
 |    /        2    
 |  \/  4*x - x   dx
 |                  
/                   
0
$$\int\limits_{0}^{1} \sqrt{- x^{2} + 4 x}\, dx$$ 
Integral(sqrt(4*x - x^2), (x, 0, 1))
The answer [src] 
    ___       
  \/ 3    2*pi
- ----- + ----
    2      3
$$- \frac{\sqrt{3}}{2} + \frac{2 \pi}{3}$$ 
=
= 
    ___       
  \/ 3    2*pi
- ----- + ----
    2      3
$$- \frac{\sqrt{3}}{2} + \frac{2 \pi}{3}$$ 
-sqrt(3)/2 + 2*pi/3
Numerical answer [src] 
1.22836969860876
1.22836969860876

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

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