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(xdx)/(x^2+3x+2)

Integral of (xdx)/(x^2+3x+2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                    
  /                    
 |                     
 |           1         
 |  x*1*------------ dx
 |       2             
 |      x  + 3*x + 2   
 |                     
/                      
0                      
$$\int\limits_{0}^{1} x 1 \cdot \frac{1}{x^{2} + 3 x + 2}\, dx$$
Integral(x*1/(x^2 + 3*x + 2), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                                             
 |                              /     2      \                                  
 |          1                log\2 + x  + 3*x/   3*log(2 + 2*x)   3*log(4 + 2*x)
 | x*1*------------ dx = C + ----------------- - -------------- + --------------
 |      2                            2                 2                2       
 |     x  + 3*x + 2                                                             
 |                                                                              
/                                                                               
$$2\,\log \left(x+2\right)-\log \left(x+1\right)$$
The graph
The answer [src]
-3*log(2) + 2*log(3)
$$2\,\log 3-3\,\log 2$$
=
=
-3*log(2) + 2*log(3)
$$- 3 \log{\left(2 \right)} + 2 \log{\left(3 \right)}$$
Numerical answer [src]
0.117783035656383
0.117783035656383
The graph
Integral of (xdx)/(x^2+3x+2) dx

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