How to solve the following inequality
Logarithmic inconsistency when integrating
Consider following integral:
By factorizing the denominator and then taking the factor outside the integral sign, it can be rewritten as
Now (1) and (2) should be equivalent, yet they evaluate into different integrals namely
Since , then (1a) and (2a) should be equivalent as well, which reduces to
which clearly isn't true. What am I missing here?