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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 1/2             
  /              
 |               
 |  log(1 + x)   
 |  ---------- dx
 |       2       
 |      x        
 |               
/                
0
$$\int\limits_{0}^{\frac{1}{2}} \frac{\log{\left(x + 1 \right)}}{x^{2}}\, dx$$ 
Integral(log(1 + x)/x^2, (x, 0, 1/2))
The answer (Indefinite) [src] 
  /                                           
 |                                            
 | log(1 + x)             /    1\   log(1 + x)
 | ---------- dx = C - log|1 + -| - ----------
 |      2                 \    x/       x     
 |     x                                      
 |                                            
/
$$\int \frac{\log{\left(x + 1 \right)}}{x^{2}}\, dx = C - \log{\left(1 + \frac{1}{x} \right)} - \frac{\log{\left(x + 1 \right)}}{x}$$
Simplify
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo
Numerical answer [src] 
43.8748339984721
43.8748339984721

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

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