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dx/((x^2)-7x-8)

Integral of dx/((x^2)-7x-8) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                  
  /                  
 |                   
 |         1         
 |  1*------------ dx
 |     2             
 |    x  - 7*x - 8   
 |                   
/                    
0                    
0111x27x8dx\int\limits_{0}^{1} 1 \cdot \frac{1}{x^{2} - 7 x - 8}\, dx
Integral(1/(x^2 - 7*x - 1*8), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                     
 |                                                      
 |        1                log(2 + 2*x)   log(-16 + 2*x)
 | 1*------------ dx = C - ------------ + --------------
 |    2                         9               9       
 |   x  - 7*x - 8                                       
 |                                                      
/                                                       
11x27x8dx=C+log(2x16)9log(2x+2)9\int 1 \cdot \frac{1}{x^{2} - 7 x - 8}\, dx = C + \frac{\log{\left(2 x - 16 \right)}}{9} - \frac{\log{\left(2 x + 2 \right)}}{9}
The graph
0.001.000.100.200.300.400.500.600.700.800.90-0.15-0.05
The answer [src]
  log(2)   log(8)   log(7)
- ------ - ------ + ------
    9        9        9   
log(8)9log(2)9+log(7)9- \frac{\log{\left(8 \right)}}{9} - \frac{\log{\left(2 \right)}}{9} + \frac{\log{\left(7 \right)}}{9}
=
=
  log(2)   log(8)   log(7)
- ------ - ------ + ------
    9        9        9   
log(8)9log(2)9+log(7)9- \frac{\log{\left(8 \right)}}{9} - \frac{\log{\left(2 \right)}}{9} + \frac{\log{\left(7 \right)}}{9}
Numerical answer [src]
-0.0918531747982742
-0.0918531747982742
The graph
Integral of dx/((x^2)-7x-8) dx

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