Speculationes super formula integrali ∫ (xndx)/(aa-2bx+cxx), ubi simul egregiae observationes circa fractiones continuas occurrunt
Abstract
Euler evaluates the integrals in the title and recognizes a recursion between them, which he then uses to give continued fractions for the log and arctan. The paper is translated from Euler's Latin original into German.
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