Mister Exam

Other calculators


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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                  
  /                  
 |                   
 |        x          
 |  -------------- dx
 |     2             
 |  2*x  - 3*x - 2   
 |                   
/                    
0                    
$$\int\limits_{0}^{1} \frac{x}{2 x^{2} - 3 x - 2}\, dx$$
Integral(x/(2*x^2 - 3*x - 1*2), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                                               
 |                                             /              2\                  
 |       x                 3*log(2 + 4*x)   log\-2 - 3*x + 2*x /   3*log(-8 + 4*x)
 | -------------- dx = C - -------------- + -------------------- + ---------------
 |    2                          20                  4                    20      
 | 2*x  - 3*x - 2                                                                 
 |                                                                                
/                                                                                 
$${{\log \left(2\,x+1\right)}\over{10}}+{{2\,\log \left(x-2\right) }\over{5}}$$
The graph
The answer [src]
  3*log(2)   log(3/2)
- -------- + --------
     10         10   
$${{\log 3}\over{10}}-{{2\,\log 2}\over{5}}$$
=
=
  3*log(2)   log(3/2)
- -------- + --------
     10         10   
$$- \frac{3 \log{\left(2 \right)}}{10} + \frac{\log{\left(\frac{3}{2} \right)}}{10}$$
Numerical answer [src]
-0.167397643357167
-0.167397643357167
The graph
Integral of x/(2x^2-3x-2) dx

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