Paper, 'On certain definite integrals. No 16' by W H L [William Henry Leighton] Russell Russell writes: 'In these papers I have considered incidentally the advantages gained by differentiating and integrating with regard to the quantities which are independent of the leading variable. In the present communication I enter upon this subject more systematically, as it evidently admits of wide extension.' Annotations in pencil and ink throughout. Subject: Mathematics Received 31 May 1888. Read 14 June 1888. A version of this paper was published in volume 44 of the Proceedings of the Royal Society as 'On certain definite integrals. No. 16'. 1888