Mister Exam

Other calculators

Solving integrals/ 1/(x*ln^4x)

Integral of 1/(x*ln^4x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  -1            
 e              
  /             
 |              
 |      1       
 |  --------- dx
 |       4      
 |  x*log (x)   
 |              
/               
0
$$\int\limits_{0}^{e^{-1}} \frac{1}{x \log{\left(x \right)}^{4}}\, dx$$ 
Integral(1/(x*log(x)^4), (x, 0, exp(-1)))
The answer (Indefinite) [src] 
  /                            
 |                             
 |     1                  1    
 | --------- dx = C - ---------
 |      4                  3   
 | x*log (x)          3*log (x)
 |                             
/
$$\int \frac{1}{x \log{\left(x \right)}^{4}}\, dx = C - \frac{1}{3 \log{\left(x \right)}^{3}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/3
$$\frac{1}{3}$$ 
=
= 
1/3
$$\frac{1}{3}$$ 
1/3
Numerical answer [src] 
0.333329697760562
0.333329697760562

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

    © Mister Exam – Calculator