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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  n              
  /              
 |               
 |   3*x + 1     
 |  ---------- dx
 |           2   
 |  x*(x - 1)    
 |               
/                
n
$$\int\limits_{n}^{n} \frac{3 x + 1}{x \left(x - 1\right)^{2}}\, dx$$ 
Integral((3*x + 1)/((x*(x - 1)^2)), (x, n, n))
The answer (Indefinite) [src] 
  /                                                 
 |                                                  
 |  3*x + 1                            4            
 | ---------- dx = C - log(-1 + x) - ------ + log(x)
 |          2                        -1 + x         
 | x*(x - 1)                                        
 |                                                  
/
$$\int \frac{3 x + 1}{x \left(x - 1\right)^{2}}\, dx = C + \log{\left(x \right)} - \log{\left(x - 1 \right)} - \frac{4}{x - 1}$$
Simplify
The answer [src] 
0
$$0$$ 
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= 
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$$0$$ 
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Numerical answer [src] 
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    Use the examples entering the upper and lower limits of integration.

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