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x/(sqrt(x^2-3x+2))

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

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1                     
  /                     
 |                      
 |          x           
 |  ----------------- dx
 |     ______________   
 |    /  2              
 |  \/  x  - 3*x + 2    
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \frac{x}{\sqrt{x^{2} - 3 x + 2}}\, dx$$
Integral(x/(sqrt(x^2 - 3*x + 2)), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                    /                ______________\
 |                               ______________        |               /      2       |
 |         x                    /      2          3*log\-3 + 2*x + 2*\/  2 + x  - 3*x /
 | ----------------- dx = C + \/  2 + x  - 3*x  + -------------------------------------
 |    ______________                                                2                  
 |   /  2                                                                              
 | \/  x  - 3*x + 2                                                                    
 |                                                                                     
/                                                                                      
$$\int \frac{x}{\sqrt{x^{2} - 3 x + 2}}\, dx = C + \sqrt{x^{2} - 3 x + 2} + \frac{3 \log{\left(2 x + 2 \sqrt{x^{2} - 3 x + 2} - 3 \right)}}{2}$$
The graph
The answer [src]
               /        ___\
    ___   3*log\3 - 2*\/ 2 /
- \/ 2  - ------------------
                  2         
$$- \sqrt{2} - \frac{3 \log{\left(3 - 2 \sqrt{2} \right)}}{2}$$
=
=
               /        ___\
    ___   3*log\3 - 2*\/ 2 /
- \/ 2  - ------------------
                  2         
$$- \sqrt{2} - \frac{3 \log{\left(3 - 2 \sqrt{2} \right)}}{2}$$
Numerical answer [src]
1.22990719815478
1.22990719815478
The graph
Integral of x/(sqrt(x^2-3x+2)) dx

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