Mister Exam

Other calculators

  • How to use it?

  • Integral of d{x}:
  • Integral of x^(1/3) Integral of x^(1/3)
  • Integral of sin(x)^4 Integral of sin(x)^4
  • Integral of cos(x)^3 Integral of cos(x)^3
  • Integral of (e^(x^2)) Integral of (e^(x^2))

  • Identical expressions

  • one /(x*sqrt(x-lnx^ two))
  • 1 divide by (x multiply by square root of (x minus lnx squared ))
  • one divide by (x multiply by square root of (x minus lnx to the power of two))
  • 1/(x*√(x-lnx^2))
  • 1/(x*sqrt(x-lnx2))
  • 1/x*sqrtx-lnx2
  • 1/(x*sqrt(x-lnx²))
  • 1/(x*sqrt(x-lnx to the power of 2))
  • 1/(xsqrt(x-lnx^2))
  • 1/(xsqrt(x-lnx2))
  • 1/xsqrtx-lnx2
  • 1/xsqrtx-lnx^2
  • 1 divide by (x*sqrt(x-lnx^2))
  • 1/(x*sqrt(x-lnx^2))dx

  • Similar expressions

  • 1/(x*sqrt(x+lnx^2))
Solving integrals/ 1/(x*sqrt(x-lnx^2))

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |       _____________   
 |      /        2       
 |  x*\/  x - log (x)    
 |                       
/                        
0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx$$ 
Integral(1/(x*sqrt(x - log(x)^2)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                              /                     
 |                              |                      
 |         1                    |         1            
 | ------------------ dx = C +  | ------------------ dx
 |      _____________           |      _____________   
 |     /        2               |     /        2       
 | x*\/  x - log (x)            | x*\/  x - log (x)    
 |                              |                      
/                              /
$$\int \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx = C + \int \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx$$
Simplify
The answer [src] 
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |       _____________   
 |      /        2       
 |  x*\/  x - log (x)    
 |                       
/                        
0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx$$ 
=
= 
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |       _____________   
 |      /        2       
 |  x*\/  x - log (x)    
 |                       
/                        
0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx$$ 
Integral(1/(x*sqrt(x - log(x)^2)), (x, 0, 1))
Numerical answer [src] 
(1.23230729616776 - 4.53641495381368j)
(1.23230729616776 - 4.53641495381368j)

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

    © Mister Exam – Calculator