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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo               
  /               
 |                
 |     / 2    \   
 |  log\x  + 1/   
 |  ----------- dx
 |       x        
 |                
/                 
1
$$\int\limits_{1}^{\infty} \frac{\log{\left(x^{2} + 1 \right)}}{x}\, dx$$ 
Integral(log(x^2 + 1)/x, (x, 1, oo))
The answer (Indefinite) [src] 
  /                                         
 |                                          
 |    / 2    \                 /    2  pi*I\
 | log\x  + 1/          polylog\2, x *e    /
 | ----------- dx = C - --------------------
 |      x                        2          
 |                                          
/
$$\int \frac{\log{\left(x^{2} + 1 \right)}}{x}\, dx = C - \frac{\operatorname{Li}_{2}\left(x^{2} e^{i \pi}\right)}{2}$$
Simplify

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

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