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x/(sqrt(2x-1))
Solving integrals/ x/(sqrt(2x-1))

Integral of x/(sqrt(2x-1)) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |       x        
 |  ----------- dx
 |    _________   
 |  \/ 2*x - 1    
 |                
/                 
0
∫01x2x−1 dx\int\limits_{0}^{1} \frac{x}{\sqrt{2 x - 1}}\, dx
Simplify
The answer (Indefinite) [src] 
  /                                                 
 |                        __________             3/2
 |      x               \/ -1 + 2*x    (-1 + 2*x)   
 | ----------- dx = C + ------------ + -------------
 |   _________               2               6      
 | \/ 2*x - 1                                       
 |                                                  
/
(2 x−1)326+2 x−12{{\left(2\,x-1\right)^{{{3}\over{2}}}}\over{6}}+{{\sqrt{2\,x-1} }\over{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900100
Plot the graph f(x)
The answer [src] 
2   I
- - -
3   3
23−i3{{2}\over{3}}-{{i}\over{3}} 
=
= 
2   I
- - -
3   3
23−i3\frac{2}{3} - \frac{i}{3}
Simplify
The graph
Integral of x/(sqrt(2x-1)) dx

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

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