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sqrt(1+(1/x))
Solving integrals/ sqrt(1+(1/x))

Integral of sqrt(1+(1/x)) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
     ___              
 2*\/ 2               
    /                 
   |                  
   |        _______   
   |       /     1    
   |      /  1 + -  dx
   |    \/       x    
   |                  
  /                   
   ___                
 \/ 3
∫3221+1x dx\int\limits_{\sqrt{3}}^{2 \sqrt{2}} \sqrt{1 + \frac{1}{x}}\, dx 
Integral(sqrt(1 + 1/x), (x, sqrt(3), 2*sqrt(2)))
The answer (Indefinite) [src] 
  /                                                   
 |                                                    
 |     _______                                        
 |    /     1             ___   _______        /  ___\
 |   /  1 + -  dx = C + \/ x *\/ 1 + x  + asinh\\/ x /
 | \/       x                                         
 |                                                    
/
∫1+1x dx=C+xx+1+asinh⁡(x)\int \sqrt{1 + \frac{1}{x}}\, dx = C + \sqrt{x} \sqrt{x + 1} + \operatorname{asinh}{\left(\sqrt{x} \right)}
Simplify
The graph
1.81.92.02.12.22.32.42.52.62.72.805
Plot the graph f(x)
Numerical answer [src] 
1.31866831155187
1.31866831155187
The graph
Integral of sqrt(1+(1/x)) dx

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

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