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Integral of ln(x)/(ln(x)+x+1)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                     
  /                     
 |                      
 |        log(x)        
 |  ----------------- dx
 |                  2   
 |  (log(x) + x + 1)    
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \frac{\log{\left(x \right)}}{\left(x + \log{\left(x \right)} + 1\right)^{2}}\, dx$$
Integral(log(x)/((log(x) + x + 1)^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                                         
 |                                          
 |       log(x)                     x       
 | ----------------- dx = C + --------------
 |                 2          1 + x + log(x)
 | (log(x) + x + 1)                         
 |                                          
/                                           
$$\int \frac{\log{\left(x \right)}}{\left(x + \log{\left(x \right)} + 1\right)^{2}}\, dx = C + \frac{x}{x + \log{\left(x \right)} + 1}$$
The answer [src]
1/2
$$\frac{1}{2}$$
=
=
1/2
$$\frac{1}{2}$$
Numerical answer [src]
-500.72131919447
-500.72131919447

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