Question #56d96
1 Answer
Feb 26, 2017
The integral does not converge.
Explanation:
The integrand is undefined at
Therefore, we must split the integral into two improper integrals.
Neither integral on the right converges, but it is sufficient to show that one of them fails to converge.
# = lim_(ararr0^+) {: lnx]_a^1 #
# = lim_(ararr0^+) (ln1 - lna) #
# = lim_(ararr0^+) lna = -oo #
So the integral does not converge.