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sqrt(2x)*sqrt(2x+1/2x)

Integral of sqrt(2x)*sqrt(2x+1/2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  2                         
  /                         
 |                          
 |              _________   
 |    _____    /       x    
 |  \/ 2*x *  /  2*x + -  dx
 |          \/         2    
 |                          
/                           
0                           
$$\int\limits_{0}^{2} \sqrt{2 x} \sqrt{\frac{x}{2} + 2 x}\, dx$$
Integral(sqrt(2*x)*sqrt(2*x + x/2), (x, 0, 2))
The answer (Indefinite) [src]
  /                                       
 |                                        
 |             _________            ___  2
 |   _____    /       x           \/ 5 *x 
 | \/ 2*x *  /  2*x + -  dx = C + --------
 |         \/         2              2    
 |                                        
/                                         
$${{\sqrt{5}\,x^2}\over{2}}$$
The graph
The answer [src]
    ___
2*\/ 5 
$$2\,\sqrt{5}$$
=
=
    ___
2*\/ 5 
$$2 \sqrt{5}$$
Numerical answer [src]
4.47213595499958
4.47213595499958
The graph
Integral of sqrt(2x)*sqrt(2x+1/2x) dx

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