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Integral of (3-lnx)/(x*sqrt(lnx)) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1                
  /                
 |                 
 |   3 - log(x)    
 |  ------------ dx
 |      ________   
 |  x*\/ log(x)    
 |                 
/                  
0                  
013log(x)xlog(x)dx\int\limits_{0}^{1} \frac{3 - \log{\left(x \right)}}{x \sqrt{\log{\left(x \right)}}}\, dx
Integral((3 - log(x))/((x*sqrt(log(x)))), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                
 |                                           3/2   
 |  3 - log(x)               ________   2*log   (x)
 | ------------ dx = C + 6*\/ log(x)  - -----------
 |     ________                              3     
 | x*\/ log(x)                                     
 |                                                 
/                                                  
3log(x)xlog(x)dx=C2log(x)323+6log(x)\int \frac{3 - \log{\left(x \right)}}{x \sqrt{\log{\left(x \right)}}}\, dx = C - \frac{2 \log{\left(x \right)}^{\frac{3}{2}}}{3} + 6 \sqrt{\log{\left(x \right)}}
The graph
0.001.000.100.200.300.400.500.600.700.800.9001
The answer [src]
-oo*I
i- \infty i
=
=
-oo*I
i- \infty i
-oo*i
Numerical answer [src]
(0.0 - 235.014569786481j)
(0.0 - 235.014569786481j)

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