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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |      3*x - 1       
 |  --------------- dx
 |  (x - 1)*(x + 2)   
 |                    
/                     
0
$$\int\limits_{0}^{1} \frac{3 x - 1}{\left(x - 1\right) \left(x + 2\right)}\, dx$$ 
Integral((3*x - 1)/(((x - 1)*(x + 2))), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                     
 |                                                      
 |     3*x - 1              2*log(-1 + x)   7*log(2 + x)
 | --------------- dx = C + ------------- + ------------
 | (x - 1)*(x + 2)                3              3      
 |                                                      
/
$$\int \frac{3 x - 1}{\left(x - 1\right) \left(x + 2\right)}\, dx = C + \frac{2 \log{\left(x - 1 \right)}}{3} + \frac{7 \log{\left(x + 2 \right)}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
      2*pi*I
-oo - ------
        3
$$-\infty - \frac{2 i \pi}{3}$$ 
=
= 
      2*pi*I
-oo - ------
        3
$$-\infty - \frac{2 i \pi}{3}$$ 
-oo - 2*pi*i/3
Numerical answer [src] 
-28.4478859385606
-28.4478859385606

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

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