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Integral of (3x^2-3*x+6)/(6*x-x^2) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src]
  1                  
  /                  
 |                   
 |     2             
 |  3*x  - 3*x + 6   
 |  -------------- dx
 |            2      
 |     6*x - x       
 |                   
/                    
0                    
$$\int\limits_{0}^{1} \frac{3 x^{2} - 3 x + 6}{- x^{2} + 6 x}\, dx$$
Integral((3*x^2 - 3*x + 6)/(6*x - x^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                     
 |                                                      
 |    2                                                 
 | 3*x  - 3*x + 6                                       
 | -------------- dx = C - 16*log(-6 + x) - 3*x + log(x)
 |           2                                          
 |    6*x - x                                           
 |                                                      
/                                                       
$$\log x-3\,x-16\,\log \left(x-6\right)$$
The answer [src]
oo - 16*pi*I
$${\it \%a}$$
=
=
oo - 16*pi*I
$$\infty - 16 i \pi$$
Numerical answer [src]
44.0075910426962
44.0075910426962

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