The present paper is concerned with formulae by which double integrals of functions of two independent variables may be evaluated approximately. The number of such formulae published hitherto is not great, and it has seemed desirable both to make a systematic search for new formulae, and to test the comparative merits of these, and of those previously known, by computing the numerical values of certain selected integrals.
(Revised December 07 1923)
(Received December 25 1923)
* The matter is discussed briefly in § 182 of Whittaker and Robinson's “Calculus of Observations,” where references are given.