Mister Exam

Integral of dy/sqrt(y) dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 1 - x          
   /            
  |             
  |       1     
  |   1*----- dy
  |       ___   
  |     \/ y    
  |             
 /              
 0              
$$\int\limits_{0}^{1 - x} 1 \cdot \frac{1}{\sqrt{y}}\, dy$$
Integral(1/sqrt(y), (y, 0, 1 - x))
The answer (Indefinite) [src]
  /                        
 |                         
 |     1                ___
 | 1*----- dy = C + 2*\/ y 
 |     ___                 
 |   \/ y                  
 |                         
/                          
$$2\,\sqrt{y}$$
The answer [src]
    _______
2*\/ 1 - x 
$$2 \sqrt{1 - x}$$
=
=
    _______
2*\/ 1 - x 
$$2 \sqrt{1 - x}$$

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