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(x+4)/((x+3)(x-6))

Integral of (x+4)/((x+3)(x-6)) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1                   
  /                   
 |                    
 |       x + 4        
 |  --------------- dx
 |  (x + 3)*(x - 6)   
 |                    
/                     
0                     
$$\int\limits_{0}^{1} \frac{x + 4}{\left(x - 6\right) \left(x + 3\right)}\, dx$$
Integral((x + 4)/(((x + 3)*(x - 6))), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                    
 |                                                     
 |      x + 4               log(3 + x)   10*log(-6 + x)
 | --------------- dx = C - ---------- + --------------
 | (x + 3)*(x - 6)              9              9       
 |                                                     
/                                                      
$$\int \frac{x + 4}{\left(x - 6\right) \left(x + 3\right)}\, dx = C + \frac{10 \log{\left(x - 6 \right)}}{9} - \frac{\log{\left(x + 3 \right)}}{9}$$
The graph
The answer [src]
  10*log(6)   log(4)   log(3)   10*log(5)
- --------- - ------ + ------ + ---------
      9         9        9          9    
$$- \frac{10 \log{\left(6 \right)}}{9} - \frac{\log{\left(4 \right)}}{9} + \frac{\log{\left(3 \right)}}{9} + \frac{10 \log{\left(5 \right)}}{9}$$
=
=
  10*log(6)   log(4)   log(3)   10*log(5)
- --------- - ------ + ------ + ---------
      9         9        9          9    
$$- \frac{10 \log{\left(6 \right)}}{9} - \frac{\log{\left(4 \right)}}{9} + \frac{\log{\left(3 \right)}}{9} + \frac{10 \log{\left(5 \right)}}{9}$$
-10*log(6)/9 - log(4)/9 + log(3)/9 + 10*log(5)/9
Numerical answer [src]
-0.234544182265703
-0.234544182265703
The graph
Integral of (x+4)/((x+3)(x-6)) dx

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