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Integral of 1/(2n-1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 oo           
  /           
 |            
 |     1      
 |  ------- dn
 |  2*n - 1   
 |            
/             
1             
$$\int\limits_{1}^{\infty} \frac{1}{2 n - 1}\, dn$$
Integral(1/(2*n - 1), (n, 1, oo))
Detail solution
  1. Let .

    Then let and substitute :

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of is .

      So, the result is:

    Now substitute back in:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                             
 |                              
 |    1             log(2*n - 1)
 | ------- dn = C + ------------
 | 2*n - 1               2      
 |                              
/                               
$$\int \frac{1}{2 n - 1}\, dn = C + \frac{\log{\left(2 n - 1 \right)}}{2}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo

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