IPA: /ɪnˌvɛstəˈɡeɪʃən/
KK: /ɪnˌvɛstəˈɡeɪʃən/
A careful and detailed search or study to find out facts or information about something.
The police launched an investigation into the robbery.
Investigation → It is formed from "in-" (meaning into) and "vestigare" (meaning to track or trace). The word "investigation" refers to the act of tracking or tracing into a matter to uncover the truth.
Think of 'tracking' ('vestigare') something 'into' ('in-') to uncover details — that's what investigation means.