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1/(9x^2-6x-1)
Solving integrals/ 1/(9x^2-6x-1)

Integral of 1/(9x^2-6x-1) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                    
  /                    
 |                     
 |          1          
 |  1*-------------- dx
 |       2             
 |    9*x  - 6*x - 1   
 |                     
/                      
0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{9 x^{2} - 6 x - 1}\, dx$$ 
Integral(1/(9*x^2 - 6*x - 1*1), (x, 0, 1))
The answer (Indefinite) [src] 
                                   /     /            ___\      /            ___\\
  /                            ___ |     |  1       \/ 2 |      |  1       \/ 2 ||
 |                           \/ 2 *|- log|- - + x + -----| + log|- - + x - -----||
 |         1                       \     \  3         3  /      \  3         3  //
 | 1*-------------- dx = C + -----------------------------------------------------
 |      2                                              12                         
 |   9*x  - 6*x - 1                                                               
 |                                                                                
/
$${{\log \left({{18\,x-3\,2^{{{3}\over{2}}}-6}\over{18\,x+3\,2^{{{3 }\over{2}}}-6}}\right)}\over{3\,2^{{{3}\over{2}}}}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
nan
$$-{{\log \left(2^{{{3}\over{2}}}+3\right)}\over{3\,2^{{{3}\over{2}}} }}-{{\log \left(-{{1}\over{2^{{{3}\over{2}}}-3}}\right)}\over{3\,2^{ {{3}\over{2}}}}}$$ 
=
= 
nan
$$\text{NaN}$$
Simplify
Numerical answer [src] 
2.06383630045818
2.06383630045818
The graph
Integral of 1/(9x^2-6x-1) dx

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

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