[{"word":"integrals","phonetics":[],"meanings":[{"partOfSpeech":"noun","definitions":[{"definition":"A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.","synonyms":[],"antonyms":[],"example":"The integral of x\\mapsto x^2 on [0,1] is \\frac{1}{3}."},{"definition":"A definite integral, a limit of sums.","synonyms":[],"antonyms":[]},{"definition":"Antiderivative","synonyms":["antiderivative","indefinite integral","∫"],"antonyms":["derivative"],"example":"The integral of x^2 is \\frac{x^3}{3} plus a constant."}],"synonyms":["antiderivative","indefinite integral","∫"],"antonyms":["derivative"]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/integral","https://en.wiktionary.org/wiki/integrals"]}]