Here are the names of the first five carboxylic acids, along with their formulas:

1. Methanoic acid (Formic acid): HCOOH

2. Ethanoic acid (Acetic acid): CH3COOH

3. Propanoic acid (Propionic acid): CH3CH2COOH

4. Butanoic acid (Butyric acid): CH3CH2CH2COOH

5. Pentanoic acid (Valeric acid): CH3CH2CH2CH2COOH