To make into a whole by bringing all parts together; unify. To join with something else; unite. To make part of a larger unit: integrated the new procedures into the work routine. To open to people of all races or ethnic groups without restriction; desegregate. To admit (a racial or ethnic group) to equal membership in an institution or society. Mathematics To calculate the integral of. Mathematics To perform integration on. Psychology To bring about the integration of (personality traits). To become integrated or undergo integration.