Question

what does integral mean?*
being an essential part of something or any of the parts that make up a whole
extremely careful and precise
a confident belief or strong hope that a particular event will happen

Explanation:

The word "integral" means being an essential part of something or any of the parts that make up a whole. For example, in a system, each component can be integral to its proper functioning. The second option "Extremely careful and precise" is more related to words like "meticulous". The third option "A confident belief or strong hope that a particular event will happen" is more about "expectation" or "hope".

Answer:

Being an essential part of something or any of the parts that make up a whole