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Integral of dx/(sqrt2x+4) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 oo               
  /               
 |                
 |       1        
 |  ----------- dx
 |    _____       
 |  \/ 2*x  + 4   
 |                
/                 
2                 
$$\int\limits_{2}^{\infty} \frac{1}{\sqrt{2 x} + 4}\, dx$$
Integral(1/(sqrt(2*x) + 4), (x, 2, oo))
The answer (Indefinite) [src]
  /                                                         
 |                           /      ___   ___\              
 |      1                    |    \/ 2 *\/ x |     ___   ___
 | ----------- dx = C - 4*log|1 + -----------| + \/ 2 *\/ x 
 |   _____                   \         4     /              
 | \/ 2*x  + 4                                              
 |                                                          
/                                                           
$$\int \frac{1}{\sqrt{2 x} + 4}\, dx = C + \sqrt{2} \sqrt{x} - 4 \log{\left(\frac{\sqrt{2} \sqrt{x}}{4} + 1 \right)}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo

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