The formula was discovered independently by Leonhard Euler and Colin Maclaurin around 1735. Euler needed it to compute slowly converging infinite series while Maclaurin used it to calculate integrals. It was later generalized to Darboux's formula.
the formula was discovered independently by leonhard euler and colin maclaurin around 1735 euler needed it to compute slowly converging infinite series while maclaurin used it to calculate integrals it was later generalized to darboux's formula