Mister Exam

Other calculators

  • How to use it?

  • Integral of d{x}:
  • Integral of ex^2 Integral of ex^2
  • Integral of 1-7*x^2 Integral of 1-7*x^2
  • Integral of xe^(1-x) Integral of xe^(1-x)
  • Integral of -xe^x Integral of -xe^x
  • Identical expressions

  • (dx)/(((lnx- one)^ two)*x)
  • (dx) divide by (((lnx minus 1) squared ) multiply by x)
  • (dx) divide by (((lnx minus one) to the power of two) multiply by x)
  • (dx)/(((lnx-1)2)*x)
  • dx/lnx-12*x
  • (dx)/(((lnx-1)²)*x)
  • (dx)/(((lnx-1) to the power of 2)*x)
  • (dx)/(((lnx-1)^2)x)
  • (dx)/(((lnx-1)2)x)
  • dx/lnx-12x
  • dx/lnx-1^2x
  • (dx) divide by (((lnx-1)^2)*x)
  • Similar expressions

  • (dx)/(((lnx+1)^2)*x)

Integral of (dx)/(((lnx-1)^2)*x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                   
  /                   
 |                    
 |         1          
 |  --------------- dx
 |              2     
 |  (log(x) - 1) *x   
 |                    
/                     
 2                    
e                     
$$\int\limits_{e^{2}}^{1} \frac{1}{x \left(\log{\left(x \right)} - 1\right)^{2}}\, dx$$
Integral(1/((log(x) - 1)^2*x), (x, exp(2), 1))
The answer (Indefinite) [src]
  /                                    
 |                                     
 |        1                      1     
 | --------------- dx = C - -----------
 |             2            -1 + log(x)
 | (log(x) - 1) *x                     
 |                                     
/                                      
$$\int \frac{1}{x \left(\log{\left(x \right)} - 1\right)^{2}}\, dx = C - \frac{1}{\log{\left(x \right)} - 1}$$
The graph
The answer [src]
-oo
$$-\infty$$
=
=
-oo
$$-\infty$$
-oo
Numerical answer [src]
-23266.3160536599
-23266.3160536599

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