ABSTRACT

Problems concerning the rectification of arcs of an ellipse, hyperbola, lemniscate, and of certain spirals, as well as some dynamical problems, led a number of mathematicians to the consideration of integrals of the form ∫ R [ x ,   P ( x ) ] d x https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315139845/3b2b0817-75f9-4f0f-9fcc-d53ae49b5fa3/content/eq2395.tif"/>