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(2x-1)/(2x^2+8x-6)
Solving integrals/ (2x-1)/(2x^2+8x-6)

Integral of (2x-1)/(2x^2+8x-6) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |     2*x - 1       
 |  -------------- dx
 |     2             
 |  2*x  + 8*x - 6   
 |                   
/                    
0
$$\int\limits_{0}^{1} \frac{2 x - 1}{2 x^{2} + 8 x - 6}\, dx$$ 
Integral((2*x - 1*1)/(2*x^2 + 8*x - 1*6), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                                                            
 |                            /         2       \       ___ /     /              ___\      /        ___      \\
 |    2*x - 1              log\-12 + 4*x  + 16*x/   5*\/ 7 *\- log\4 + 2*x + 2*\/ 7 / + log\4 - 2*\/ 7  + 2*x//
 | -------------- dx = C + ---------------------- - -----------------------------------------------------------
 |    2                              2                                           28                            
 | 2*x  + 8*x - 6                                                                                              
 |                                                                                                             
/
$${{\log \left(x^2+4\,x-3\right)}\over{2}}-{{5\,\log \left({{2\,x-2\, \sqrt{7}+4}\over{2\,x+2\,\sqrt{7}+4}}\right)}\over{4\,\sqrt{7}}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
nan
$${{5\,\log \left({{3}\over{4\,\sqrt{7}+11}}\right)}\over{4\,\sqrt{7} }}+{{5\,\log \left(3\,\sqrt{7}+8\right)}\over{4\,\sqrt{7}}}-{{\log 3 }\over{2}}+{{\log 2}\over{2}}$$ 
=
= 
nan
$$\text{NaN}$$
Simplify
Numerical answer [src] 
0.0136228861019081
0.0136228861019081
The graph
Integral of (2x-1)/(2x^2+8x-6) dx

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

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