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Integral of dx/sqrt(8x^3) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 oo             
  /             
 |              
 |      1       
 |  --------- dx
 |     ______   
 |    /    3    
 |  \/  8*x     
 |              
/               
2               
$$\int\limits_{2}^{\infty} \frac{1}{\sqrt{8 x^{3}}}\, dx$$
Integral(1/(sqrt(8*x^3)), (x, 2, oo))
The answer (Indefinite) [src]
                              /          
                             |           
                        ___  |    1      
                      \/ 2 * | ------- dx
                             |    ____   
                             |   /  3    
  /                          | \/  x     
 |                           |           
 |     1                    /            
 | --------- dx = C + -------------------
 |    ______                   4         
 |   /    3                              
 | \/  8*x                               
 |                                       
/                                        
$$\int \frac{1}{\sqrt{8 x^{3}}}\, dx = C + \frac{\sqrt{2} \int \frac{1}{\sqrt{x^{3}}}\, dx}{4}$$
The graph
The answer [src]
1/2
$$\frac{1}{2}$$
=
=
1/2
$$\frac{1}{2}$$
1/2

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