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  • Integral of x*dx/(x^2+1) Integral of x*dx/(x^2+1)
  • Integral of z Integral of z
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  • Identical expressions

  • xdx/ln(x)*sqrt(x^ two + one)
  • xdx divide by ln(x) multiply by square root of (x squared plus 1)
  • xdx divide by ln(x) multiply by square root of (x to the power of two plus one)
  • xdx/ln(x)*√(x^2+1)
  • xdx/ln(x)*sqrt(x2+1)
  • xdx/lnx*sqrtx2+1
  • xdx/ln(x)*sqrt(x²+1)
  • xdx/ln(x)*sqrt(x to the power of 2+1)
  • xdx/ln(x)sqrt(x^2+1)
  • xdx/ln(x)sqrt(x2+1)
  • xdx/lnxsqrtx2+1
  • xdx/lnxsqrtx^2+1
  • xdx divide by ln(x)*sqrt(x^2+1)

  • Similar expressions

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

Integral of xdx/ln(x)*sqrt(x^2+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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

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