E345 -- Integratio aequationis dx/V(A+Bx+Cx^2+Dx^3+Ex^4)=dy/V(A+By+Cy^2+Dy^3+Ey^4)

E345 -- Integratio aequationis dx/√(A+Bx+Cx²+Dx³+Ex⁴) = dy/√(A+By+Cy²+Dy³+Ey⁴)

(The integration of the equation dx/V(A+Bx+Cx²+Dx³+Ex⁴) = dy/V(A+By+Cy²+Dy³+Ey⁴))

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

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E345 -- Integratio aequationis dx/√(A+Bx+Cx2+Dx3+Ex4) = dy/√(A+By+Cy2+Dy3+Ey4)

E345 -- Integratio aequationis dx/√(A+Bx+Cx²+Dx³+Ex⁴) = dy/√(A+By+Cy²+Dy³+Ey⁴)