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Solving integrals/ x/sqrt(x^2-4x+1)

Integral of x/sqrt(x^2-4x+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo                     
  /                     
 |                      
 |          x           
 |  ----------------- dx
 |     ______________   
 |    /  2              
 |  \/  x  - 4*x + 1    
 |                      
/                       
4
∫4∞x(x2−4x)+1 dx\int\limits_{4}^{\infty} \frac{x}{\sqrt{\left(x^{2} - 4 x\right) + 1}}\, dx 
Integral(x/sqrt(x^2 - 4*x + 1), (x, 4, oo))
The answer (Indefinite) [src] 
  /                             /                    
 |                             |                     
 |         x                   |         x           
 | ----------------- dx = C +  | ----------------- dx
 |    ______________           |    ______________   
 |   /  2                      |   /      2          
 | \/  x  - 4*x + 1            | \/  1 + x  - 4*x    
 |                             |                     
/                             /
∫x(x2−4x)+1 dx=C+∫xx2−4x+1 dx\int \frac{x}{\sqrt{\left(x^{2} - 4 x\right) + 1}}\, dx = C + \int \frac{x}{\sqrt{x^{2} - 4 x + 1}}\, dx
Simplify

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

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