Mister Exam

Other calculators


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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                
  /                
 |                 
 |     x - 3       
 |  ------------ dx
 |   2             
 |  x  + 3*x + 2   
 |                 
/                  
0                  
$$\int\limits_{0}^{1} \frac{x - 3}{x^{2} + 3 x + 2}\, dx$$
Integral((x - 1*3)/(x^2 + 3*x + 2), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                 
 |                                                  
 |    x - 3                                         
 | ------------ dx = C - 4*log(1 + x) + 5*log(2 + x)
 |  2                                               
 | x  + 3*x + 2                                     
 |                                                  
/                                                   
$$5\,\log \left(x+2\right)-4\,\log \left(x+1\right)$$
The graph
The answer [src]
-9*log(2) + 5*log(3)
$$5\,\log 3-9\,\log 2$$
=
=
-9*log(2) + 5*log(3)
$$- 9 \log{\left(2 \right)} + 5 \log{\left(3 \right)}$$
Numerical answer [src]
-0.745263181698959
-0.745263181698959
The graph
Integral of (x-3)/(x^2+3x+2) dx

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