Mister Exam

Other calculators


1/(2*x^2+6*x-2)

Integral of 1/(2*x^2+6*x-2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                    
  /                    
 |                     
 |          1          
 |  1*-------------- dx
 |       2             
 |    2*x  + 6*x - 2   
 |                     
/                      
0                      
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{2 x^{2} + 6 x - 2}\, dx$$
Integral(1/(2*x^2 + 6*x - 1*2), (x, 0, 1))
The answer (Indefinite) [src]
                                    /     /          ____\      /          ____\\
  /                            ____ |     |3       \/ 13 |      |3       \/ 13 ||
 |                           \/ 13 *|- log|- + x + ------| + log|- + x - ------||
 |         1                        \     \2         2   /      \2         2   //
 | 1*-------------- dx = C + ----------------------------------------------------
 |      2                                             26                         
 |   2*x  + 6*x - 2                                                              
 |                                                                               
/                                                                                
$${{\log \left({{2\,x-\sqrt{13}+3}\over{2\,x+\sqrt{13}+3}}\right) }\over{2\,\sqrt{13}}}$$
The graph
The answer [src]
nan
$${{\log \left({{6}\over{5\,\sqrt{13}+19}}\right)}\over{2\,\sqrt{13} }}-{{\log \left({{2}\over{3\,\sqrt{13}+11}}\right)}\over{2\,\sqrt{13 }}}$$
=
=
nan
$$\text{NaN}$$
Numerical answer [src]
-0.516268454660585
-0.516268454660585
The graph
Integral of 1/(2*x^2+6*x-2) dx

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