## E345 -- Integratio aequationis $$\frac{dx}{\sqrt{}(A+Bx+Cx^2+Dx^3+Ex^4)} = \frac{dy}{\sqrt{}(A+By+Cy^2+Dy^3+Ey^4)}$$

(The integration of the equation $$\frac{dx}{\sqrt{}(A+Bx+Cx^2+Dx^3+Ex^4)} = \frac{dy}{\sqrt{}(A+By+Cy^2+Dy^3+Ey^4)}$$)

Summary:

According to the records, it was presented to the St. Petersburg Academy on December 19, 1765.

Publication:
• Originally published in Novi Commentarii academiae scientiarum Petropolitanae 12, 1768, pp. 3-16
• Opera Omnia: Series 1, Volume 20, pp. 302 - 317
Documents Available:
• Original Document: E345
• German translation (Alexander Aycock and Arseny Skryagin): E345