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Solving integrals/ 1/(x(sqrt1+lnx))

Integral of 1/(x(sqrt1+lnx)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3                      
 e                       
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |    /  ___         \   
 |  x*\\/ 1  + log(x)/   
 |                       
/                        
1
$$\int\limits_{1}^{e^{3}} \frac{1}{x \left(\log{\left(x \right)} + \sqrt{1}\right)}\, dx$$ 
Integral(1/(x*(sqrt(1) + log(x))), (x, 1, exp(3)))
The answer (Indefinite) [src] 
  /                                           
 |                                            
 |         1                                  
 | ------------------ dx = C + log(1 + log(x))
 |   /  ___         \                         
 | x*\\/ 1  + log(x)/                         
 |                                            
/
$$\int \frac{1}{x \left(\log{\left(x \right)} + \sqrt{1}\right)}\, dx = C + \log{\left(\log{\left(x \right)} + 1 \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
log(4)
$$\log{\left(4 \right)}$$ 
=
= 
log(4)
$$\log{\left(4 \right)}$$ 
log(4)
Numerical answer [src] 
1.38629436111989
1.38629436111989

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

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