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Solving integrals/ 1/(x×(sqrt(2lnx+3)))

Integral of 1/(x×(sqrt(2lnx+3))) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |      ______________   
 |  x*\/ 2*log(x) + 3    
 |                       
/                        
0
$$\int\limits_{0}^{\infty} \frac{1}{x \sqrt{2 \log{\left(x \right)} + 3}}\, dx$$ 
Integral(1/(x*sqrt(2*log(x) + 3)), (x, 0, oo))
The answer (Indefinite) [src] 
  /                              /                     
 |                              |                      
 |         1                    |         1            
 | ------------------ dx = C +  | ------------------ dx
 |     ______________           |     ______________   
 | x*\/ 2*log(x) + 3            | x*\/ 3 + 2*log(x)    
 |                              |                      
/                              /
$$\int \frac{1}{x \sqrt{2 \log{\left(x \right)} + 3}}\, dx = C + \int \frac{1}{x \sqrt{2 \log{\left(x \right)} + 3}}\, dx$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo - oo*I
$$\infty - \infty i$$ 
=
= 
oo - oo*I
$$\infty - \infty i$$ 
oo - oo*i

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

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