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Solving integrals/ lnxdx/(x+1)^2

Integral of lnxdx/(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   
 |  (x + 1)    
 |             
/              
0
∫01log⁡(x)(x+1)2 dx\int\limits_{0}^{1} \frac{\log{\left(x \right)}}{\left(x + 1\right)^{2}}\, dx 
Integral(log(x)/(x + 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                     
 |                                      
 |  log(x)              /    1\   log(x)
 | -------- dx = C - log|1 + -| - ------
 |        2             \    x/   1 + x 
 | (x + 1)                              
 |                                      
/
∫log⁡(x)(x+1)2 dx=C−log⁡(1+1x)−log⁡(x)x+1\int \frac{\log{\left(x \right)}}{\left(x + 1\right)^{2}}\, dx = C - \log{\left(1 + \frac{1}{x} \right)} - \frac{\log{\left(x \right)}}{x + 1}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1010
Plot the graph f(x)
The answer [src] 
-log(2)
−log⁡(2)- \log{\left(2 \right)} 
=
= 
-log(2)
−log⁡(2)- \log{\left(2 \right)} 
-log(2)
Numerical answer [src] 
-0.693147180559945
-0.693147180559945

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

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