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Integral of dx/(x*ln^5*x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  2             
 e              
  /             
 |              
 |      1       
 |  --------- dx
 |       5      
 |  x*log (x)   
 |              
/               
E               
$$\int\limits_{e}^{e^{2}} \frac{1}{x \log{\left(x \right)}^{5}}\, dx$$
Integral(1/(x*log(x)^5), (x, E, exp(2)))
The answer (Indefinite) [src]
  /                            
 |                             
 |     1                  1    
 | --------- dx = C - ---------
 |      5                  4   
 | x*log (x)          4*log (x)
 |                             
/                              
$$\int \frac{1}{x \log{\left(x \right)}^{5}}\, dx = C - \frac{1}{4 \log{\left(x \right)}^{4}}$$
The graph
The answer [src]
15
--
64
$$\frac{15}{64}$$
=
=
15
--
64
$$\frac{15}{64}$$
15/64
Numerical answer [src]
0.234375
0.234375

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