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Solving integrals/ 1/x(sqrt2x-1)

Integral of 1/x(sqrt2x-1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |    _____       
 |  \/ 2*x  - 1   
 |  ----------- dx
 |       x        
 |                
/                 
0
$$\int\limits_{0}^{1} \frac{\sqrt{2 x} - 1}{x}\, dx$$ 
Integral((sqrt(2*x) - 1)/x, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                         
 |                                                          
 |   _____                                                  
 | \/ 2*x  - 1               /    ___   ___\       ___   ___
 | ----------- dx = C - 2*log\2*\/ 2 *\/ x / + 2*\/ 2 *\/ x 
 |      x                                                   
 |                                                          
/
$$\int \frac{\sqrt{2 x} - 1}{x}\, dx = C + 2 \sqrt{2} \sqrt{x} - 2 \log{\left(2 \sqrt{2} \sqrt{x} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-oo
$$-\infty$$ 
=
= 
-oo
$$-\infty$$ 
-oo
Numerical answer [src] 
-41.2620190099971
-41.2620190099971

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

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