Mister Exam

Other calculators

Integral of xdx/(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)                               
 |                                       
/                                        
$$\int \frac{x}{\left(x - 1\right)^{2}}\, dx = C + \log{\left(x - 1 \right)} - \frac{1}{x - 1}$$
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.