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dr/r
Solving integrals/ dr/r

Integral of dr/r dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1     
  /     
 |      
 |  1   
 |  - dr
 |  r   
 |      
/       
0
∫011r dr\int\limits_{0}^{1} \frac{1}{r}\, dr 
Integral(1/r, (r, 0, 1))
Detail solution

  1. The integral of 1r\frac{1}{r} is log⁡(r)\log{\left(r \right)}.

  2. Add the constant of integration:

    log⁡(r)+constant\log{\left(r \right)}+ \mathrm{constant}

The answer is:

log⁡(r)+constant\log{\left(r \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                 
 |                  
 | 1                
 | - dr = C + log(r)
 | r                
 |                  
/
∫1r dr=C+log⁡(r)\int \frac{1}{r}\, dr = C + \log{\left(r \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1000010000
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
44.0904461339929
44.0904461339929
The graph
Integral of dr/r dx

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

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