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

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

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |     1       
 |  -------- dx
 |   2         
 |  x  - 2*x   
 |             
/              
0
∫011x2−2x dx\int\limits_{0}^{1} \frac{1}{x^{2} - 2 x}\, dx 
Integral(1/(x^2 - 2*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                      
 |                                       
 |    1              log(-2 + x)   log(x)
 | -------- dx = C + ----------- - ------
 |  2                     2          2   
 | x  - 2*x                              
 |                                       
/
∫1x2−2x dx=C−log⁡(x)2+log⁡(x−2)2\int \frac{1}{x^{2} - 2 x}\, dx = C - \frac{\log{\left(x \right)}}{2} + \frac{\log{\left(x - 2 \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-50005000
Plot the graph f(x)
The answer [src] 
      pi*I
-oo + ----
       2
−∞+iπ2-\infty + \frac{i \pi}{2} 
=
= 
      pi*I
-oo + ----
       2
−∞+iπ2-\infty + \frac{i \pi}{2} 
-oo + pi*i/2
Numerical answer [src] 
-22.3917966572764
-22.3917966572764
The graph
Integral of 1/(x^2-2x) dx

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

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