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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  2             
  /             
 |              
 |    x + 2     
 |  --------- dx
 |  x*(x - 3)   
 |              
/               
1               
$$\int\limits_{1}^{2} \frac{x + 2}{x \left(x - 3\right)}\, dx$$
Integral((x + 2)/((x*(x - 3))), (x, 1, 2))
The answer (Indefinite) [src]
  /                                           
 |                                            
 |   x + 2            2*log(x)   5*log(-3 + x)
 | --------- dx = C - -------- + -------------
 | x*(x - 3)             3             3      
 |                                            
/                                             
$$\int \frac{x + 2}{x \left(x - 3\right)}\, dx = C - \frac{2 \log{\left(x \right)}}{3} + \frac{5 \log{\left(x - 3 \right)}}{3}$$
The graph
The answer [src]
-7*log(2)
---------
    3    
$$- \frac{7 \log{\left(2 \right)}}{3}$$
=
=
-7*log(2)
---------
    3    
$$- \frac{7 \log{\left(2 \right)}}{3}$$
-7*log(2)/3
Numerical answer [src]
-1.61734342130654
-1.61734342130654

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