Mister Exam

Other calculators

Solving integrals/ 1/(x(ln^3x))

Integral of 1/(x(ln^3x)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo             
  /             
 |              
 |      1       
 |  --------- dx
 |       3      
 |  x*log (x)   
 |              
/               
E
∫e∞1xlog⁡(x)3 dx\int\limits_{e}^{\infty} \frac{1}{x \log{\left(x \right)}^{3}}\, dx 
Integral(1/(x*log(x)^3), (x, E, oo))
The answer (Indefinite) [src] 
  /                            
 |                             
 |     1                  1    
 | --------- dx = C - ---------
 |      3                  2   
 | x*log (x)          2*log (x)
 |                             
/
∫1xlog⁡(x)3 dx=C−12log⁡(x)2\int \frac{1}{x \log{\left(x \right)}^{3}}\, dx = C - \frac{1}{2 \log{\left(x \right)}^{2}}
Simplify
The graph
2.71902.72002.72102.72202.72302.72402.72502.72602.72702.72801.0-1.0
Plot the graph f(x)
The answer [src] 
1/2
12\frac{1}{2} 
=
= 
1/2
12\frac{1}{2} 
1/2

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

    © Mister Exam – Calculator