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Solving integrals/ x^3/(x-1)^2

Integral of x^3/(x-1)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |      3      
 |     x       
 |  -------- dx
 |         2   
 |  (x - 1)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{x^{3}}{\left(x - 1\right)^{2}}\, dx$$ 
Integral(x^3/(x - 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                   
 |                                                    
 |     3              2                               
 |    x              x      1                         
 | -------- dx = C + -- - ------ + 2*x + 3*log(-1 + x)
 |        2          2    -1 + x                      
 | (x - 1)                                            
 |                                                    
/
$$\int \frac{x^{3}}{\left(x - 1\right)^{2}}\, dx = C + \frac{x^{2}}{2} + 2 x + 3 \log{\left(x - 1 \right)} - \frac{1}{x - 1}$$
Simplify
The answer [src] 
oo - 3*pi*I
$$\infty - 3 i \pi$$ 
=
= 
oo - 3*pi*I
$$\infty - 3 i \pi$$ 
oo - 3*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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