Evaluate the integral 
.
Definitions:
Acid-Base Pair
Two substances that differ only by the presence or absence of a hydrogen ion and can interconvert by the gain or loss of a proton.
Conjugate Base
The resulting species after a proton has been given up by an acid in a chemical reaction.
Phenol
An aromatic organic compound with the molecular formula C6H5OH, featuring a phenyl group bonded to a hydroxyl group.
Trifluoromethanesulfonic Acid
A strong acid often used in organic chemistry syntheses, recognized for its powerful protonating ability.
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