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(x-3)/(x^2-2x-8)

Integral of (x-3)/(x^2-2x-8) dx

Limits of integration:

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The solution

You have entered [src]
 oo                
  /                
 |                 
 |     x - 3       
 |  ------------ dx
 |   2             
 |  x  - 2*x - 8   
 |                 
/                  
5                  
$$\int\limits_{5}^{\infty} \frac{x - 3}{\left(x^{2} - 2 x\right) - 8}\, dx$$
Integral((x - 3)/(x^2 - 2*x - 8), (x, 5, oo))
The answer (Indefinite) [src]
  /                                                
 |                                                 
 |    x - 3              log(-4 + x)   5*log(2 + x)
 | ------------ dx = C + ----------- + ------------
 |  2                         6             6      
 | x  - 2*x - 8                                    
 |                                                 
/                                                  
$$\int \frac{x - 3}{\left(x^{2} - 2 x\right) - 8}\, dx = C + \frac{\log{\left(x - 4 \right)}}{6} + \frac{5 \log{\left(x + 2 \right)}}{6}$$
The graph
The answer [src]
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The graph
Integral of (x-3)/(x^2-2x-8) dx

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