Mister Exam

Integral of sqrt(2y) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  2           
  /           
 |            
 |    _____   
 |  \/ 2*y  dy
 |            
/             
0             
$$\int\limits_{0}^{2} \sqrt{2 y}\, dy$$
Integral(sqrt(2*y), (y, 0, 2))
The answer (Indefinite) [src]
  /                             
 |                      ___  3/2
 |   _____          2*\/ 2 *y   
 | \/ 2*y  dy = C + ------------
 |                       3      
/                               
$$\int \sqrt{2 y}\, dy = C + \frac{2 \sqrt{2} y^{\frac{3}{2}}}{3}$$
The graph
The answer [src]
8/3
$$\frac{8}{3}$$
=
=
8/3
$$\frac{8}{3}$$
8/3
Numerical answer [src]
2.66666666666667
2.66666666666667

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