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Solving integrals/ (2x+1)/((x+2)*(x-1))

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |      2*x + 1       
 |  --------------- dx
 |  (x + 2)*(x - 1)   
 |                    
/                     
0
$$\int\limits_{0}^{1} \frac{2 x + 1}{\left(x - 1\right) \left(x + 2\right)}\, dx$$ 
Integral((2*x + 1)/(((x + 2)*(x - 1))), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                             
 |                                              
 |     2*x + 1                                  
 | --------------- dx = C + log((x + 2)*(x - 1))
 | (x + 2)*(x - 1)                              
 |                                              
/
$$\int \frac{2 x + 1}{\left(x - 1\right) \left(x + 2\right)}\, dx = C + \log{\left(\left(x - 1\right) \left(x + 2\right) \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-oo - pi*I
$$-\infty - i \pi$$ 
=
= 
-oo - pi*I
$$-\infty - i \pi$$ 
-oo - pi*i
Numerical answer [src] 
-43.6854916781113
-43.6854916781113

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

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