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x/((x+2)(x-1))

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                   
  /                   
 |                    
 |         x          
 |  --------------- dx
 |  (x + 2)*(x - 1)   
 |                    
/                     
0                     
$$\int\limits_{0}^{1} \frac{x}{\left(x - 1\right) \left(x + 2\right)}\, dx$$
Integral(x/(((x + 2)*(x - 1))), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                   
 |                                                    
 |        x                 log(-1 + x)   2*log(2 + x)
 | --------------- dx = C + ----------- + ------------
 | (x + 2)*(x - 1)               3             3      
 |                                                    
/                                                     
$$\int \frac{x}{\left(x - 1\right) \left(x + 2\right)}\, dx = C + \frac{\log{\left(x - 1 \right)}}{3} + \frac{2 \log{\left(x + 2 \right)}}{3}$$
The graph
The answer [src]
      pi*I
-oo - ----
       3  
$$-\infty - \frac{i \pi}{3}$$
=
=
      pi*I
-oo - ----
       3  
$$-\infty - \frac{i \pi}{3}$$
-oo - pi*i/3
Numerical answer [src]
-14.4266755233344
-14.4266755233344
The graph
Integral of x/((x+2)(x-1)) dx

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