Mister Exam

Other calculators

Integral of 1/lnx^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 oo           
  /           
 |            
 |     1      
 |  ------- dx
 |     2      
 |  log (x)   
 |            
/             
2             
21log(x)2dx\int\limits_{2}^{\infty} \frac{1}{\log{\left(x \right)}^{2}}\, dx
Integral(1/(log(x)^2), (x, 2, oo))
The answer (Indefinite) [src]
  /                               
 |                                
 |    1               x           
 | ------- dx = C - ------ + li(x)
 |    2             log(x)        
 | log (x)                        
 |                                
/                                 
1log(x)2dx=Cxlog(x)+li(x)\int \frac{1}{\log{\left(x \right)}^{2}}\, dx = C - \frac{x}{\log{\left(x \right)}} + \operatorname{li}{\left(x \right)}
The graph
2.00002.01002.00102.00202.00302.00402.00502.00602.00702.00802.00905-5
The answer [src]
oo - li(2)
li(2)+- \operatorname{li}{\left(2 \right)} + \infty
=
=
oo - li(2)
li(2)+- \operatorname{li}{\left(2 \right)} + \infty
oo - li(2)

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