Mister Exam

Other calculators

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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