Grammar: Full infinitive (to + base form of verb) vs. Bare infinitive (base form of verb without to)

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Full infinitive is used after certain verbs (e.g., want, plan, happy to), after adjectives (e.g., easy to solve), and after 'too' (e.g., too difficult to solve).
Bare infinitive is used after modal verbs (e.g., shouldn't watch), verbs of perception (e.g., let me take), and causative verbs (e.g., made us train).
The note shows an example where 'fix' (bare infinitive) is used after 'helped me'.