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x/(5-4x)^1/2

Integral of x/(5-4x)^1/2 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1               
  /               
 |                
 |       x        
 |  ----------- dx
 |    _________   
 |  \/ 5 - 4*x    
 |                
/                 
-1                
$$\int\limits_{-1}^{1} \frac{x}{\sqrt{- 4 x + 5}}\, dx$$
Integral(x/(sqrt(5 - 4*x)), (x, -1, 1))
The answer (Indefinite) [src]
  /                                                 
 |                          _________            3/2
 |      x               5*\/ 5 - 4*x    (5 - 4*x)   
 | ----------- dx = C - ------------- + ------------
 |   _________                8              24     
 | \/ 5 - 4*x                                       
 |                                                  
/                                                   
$${{\left(5-4\,x\right)^{{{3}\over{2}}}}\over{24}}-{{5\,\sqrt{5-4\,x} }\over{8}}$$
The graph
The answer [src]
1/6
$${{1}\over{6}}$$
=
=
1/6
$$\frac{1}{6}$$
Numerical answer [src]
0.166666666666667
0.166666666666667
The graph
Integral of x/(5-4x)^1/2 dx

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