oo / | | 1 | ------- dn | 2*n - 1 | / 1
Integral(1/(2*n - 1), (n, 1, oo))
Let .
Then let and substitute :
The integral of a constant times a function is the constant times the integral of the function:
The integral of is .
So, the result is:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | | 1 log(2*n - 1) | ------- dn = C + ------------ | 2*n - 1 2 | /
Use the examples entering the upper and lower limits of integration.