Meaning

1. To form into one whole; to make entire; to complete; to renew; to restore; to perfect.
2. To include as a constituent part or functionality.
3. To indicate the whole of; to give the sum or total of; as, an integrating anemometer, one that indicates or registers the entire action of the wind in a given time.
4. To subject to the operation of integration; to find the integral of an equation.
5. To desegregate, as a school or neighborhood.
6. To combine compatible elements in order to incorporate them.