NIST Digital Library of Mathematical Functions / 2.10 Sums and Sequences

Official text: dlmf.nist.gov/2.10

Section 2.10(i), equation 2.10.1 gives the Euler-Maclaurin formula with an exact periodic Bernoulli function remainder. Moving the constant Bernoulli-number term out of the final integral yields the endpoint-correction convention used here.