[{"Bold_text": "adjective", "List Items": ["of, relating to, or belonging as a part of the whole; constituent or component:integral parts.", "necessary to the completeness of the whole:This point is integral to his plan.Synonyms: requisite , indispensable , essential", "consisting or composed of parts that together constitute a whole.", "entire; complete; whole:the integral works of a writer.", "Arithmetic.pertaining to or being an integer; not fractional.", "Mathematics.pertaining to or involving integrals."]}, {"Bold_text": "noun", "List Items": ["an integral whole.", "Mathematics.Also called Riemann integral Riemann integral.the numerical measure of the area bounded above by the graph of a given function, below by thex-axis, and on the sides by ordinates drawn at the endpoints of a specified interval; the limit, as the norm of partitions of the given interval approaches zero, of the sum of the products of the function evaluated at a point in each subinterval times the length of the subinterval.a primitive.any of several analogous quantities.Compare improper integral improper integral, line integral line integral, multiple integral multiple integral, surface integral surface integral.", "Also called Riemann integral Riemann integral.the numerical measure of the area bounded above by the graph of a given function, below by thex-axis, and on the sides by ordinates drawn at the endpoints of a specified interval; the limit, as the norm of partitions of the given interval approaches zero, of the sum of the products of the function evaluated at a point in each subinterval times the length of the subinterval.", "a primitive.", "any of several analogous quantities.Compare improper integral improper integral, line integral line integral, multiple integral multiple integral, surface integral surface integral."]}, {"Bold_text": "Adjective", "List Items": null}, {"Bold_text": "Noun", "List Items": null}]