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

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1                
  /                
 |                 
 |       1         
 |  ------------ dx
 |   2             
 |  x  + 2*x - 3   
 |                 
/                  
2                  
$$\int\limits_{2}^{1} \frac{1}{\left(x^{2} + 2 x\right) - 3}\, dx$$
Integral(1/(x^2 + 2*x - 3), (x, 2, 1))
The answer (Indefinite) [src]
  /                                              
 |                                               
 |      1                log(3 + x)   log(-1 + x)
 | ------------ dx = C - ---------- + -----------
 |  2                        4             4     
 | x  + 2*x - 3                                  
 |                                               
/                                                
$$\int \frac{1}{\left(x^{2} + 2 x\right) - 3}\, dx = C + \frac{\log{\left(x - 1 \right)}}{4} - \frac{\log{\left(x + 3 \right)}}{4}$$
The graph
The answer [src]
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$$-\infty$$
=
=
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$$-\infty$$
-oo
Numerical answer [src]
-10.966946996252
-10.966946996252

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