Provide the $IUPAC$ and common names for the carboxylic acids listed in the table below:

Compound	Common Name	$IUPAC$ Name
$(i) \ HCOOH$	Formic acid	Methanoic acid
$(ii) \ CH_3COOH$	Acetic acid	Ethanoic acid
$(iii) \ CH_3CH_2COOH$	Propionic acid	Propanoic acid
$(iv) \ C_6H_5COOH$	Benzoic acid	Benzenecarboxylic acid (Benzoic acid)
$(v) \ (COOH)_2$	Oxalic acid	Ethanedioic acid
$(vi) \ HOOCCH_2CH_2COOH$	Succinic acid	Butanedioic acid

(N/A) The nomenclature of carboxylic acids involves identifying the longest carbon chain containing the $-COOH$ group.
$(i) \ HCOOH$: Contains $1$ carbon atom. Common name: Formic acid; $IUPAC$ name: Methanoic acid.
$(ii) \ CH_3COOH$: Contains $2$ carbon atoms. Common name: Acetic acid; $IUPAC$ name: Ethanoic acid.
$(iii) \ CH_3CH_2COOH$: Contains $3$ carbon atoms. Common name: Propionic acid; $IUPAC$ name: Propanoic acid.
$(iv) \ C_6H_5COOH$: $A$ benzene ring attached to a $-COOH$ group. Common name: Benzoic acid; $IUPAC$ name: Benzenecarboxylic acid (also accepted as Benzoic acid).
$(v) \ (COOH)_2$: Contains $2$ carbon atoms. Common name: Oxalic acid; $IUPAC$ name: Ethanedioic acid.
$(vi) \ HOOCCH_2CH_2COOH$: Contains $4$ carbon atoms. Common name: Succinic acid; $IUPAC$ name: Butanedioic acid.