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Solving integrals/ 2x/((x-1)^2)

Integral of 2x/((x-1)^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |    2*x      
 |  -------- dx
 |         2   
 |  (x - 1)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{2 x}{\left(x - 1\right)^{2}}\, dx$$ 
Integral((2*x)/(x - 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                        
 |                                         
 |   2*x               2                   
 | -------- dx = C - ------ + 2*log(-1 + x)
 |        2          -1 + x                
 | (x - 1)                                 
 |                                         
/
$$\int \frac{2 x}{\left(x - 1\right)^{2}}\, dx = C + 2 \log{\left(x - 1 \right)} - \frac{2}{x - 1}$$
Simplify
The answer [src] 
oo - 2*pi*I
$$\infty - 2 i \pi$$ 
=
= 
oo - 2*pi*I
$$\infty - 2 i \pi$$ 
oo - 2*pi*i
Numerical answer [src] 
2.76039122251329e+19
2.76039122251329e+19

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

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