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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |     x       
 |  -------- dx
 |         2   
 |  (x - 1)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{x}{\left(x - 1\right)^{2}}\, dx$$ 
Integral(x/(x - 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                      
 |                                       
 |    x                1                 
 | -------- dx = C - ------ + log(-1 + x)
 |        2          -1 + x              
 | (x - 1)                               
 |                                       
/
$$\int \frac{x}{\left(x - 1\right)^{2}}\, dx = C + \log{\left(x - 1 \right)} - \frac{1}{x - 1}$$
Simplify
The answer [src] 
oo - pi*I
$$\infty - i \pi$$ 
=
= 
oo - pi*I
$$\infty - i \pi$$ 
oo - pi*i
Numerical answer [src] 
1.38019561125665e+19
1.38019561125665e+19

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

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