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Integral of dx/(x²-4x+3) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  2                
  /                
 |                 
 |       1         
 |  ------------ dx
 |   2             
 |  x  - 4*x + 3   
 |                 
/                  
0                  
$$\int\limits_{0}^{2} \frac{1}{\left(x^{2} - 4 x\right) + 3}\, dx$$
Integral(1/(x^2 - 4*x + 3), (x, 0, 2))
The answer (Indefinite) [src]
  /                                               
 |                                                
 |      1                log(-3 + x)   log(-1 + x)
 | ------------ dx = C + ----------- - -----------
 |  2                         2             2     
 | x  - 4*x + 3                                   
 |                                                
/                                                 
$$\int \frac{1}{\left(x^{2} - 4 x\right) + 3}\, dx = C + \frac{\log{\left(x - 3 \right)}}{2} - \frac{\log{\left(x - 1 \right)}}{2}$$
The graph
The answer [src]
nan
$$\text{NaN}$$
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nan
$$\text{NaN}$$
nan

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