iM 



14S DE CRITERIIS INTEGRABIL. 



Hcc non 



dV^z^zM^dx-i-lS^idy^Fdp hVdt 



et inueniemus 



Wzn/Mdxi l<^'=zfNdx; ?'=/{? -N') d x ; 



(^^/{(l- T^jdx etc. 



M"=zfWdx; N"— /N'^Jt; P" =/(?' ^ N") ^^i 



(^'—fiC^-V^dx etc. 

 vnde fiet 



q^—f^^^qdx-if^^^Fdx-Jt-^if^^^Ndx etc. 



Quum igitur pro integrabilitate formuke dxfdxfVdx 

 requiratur, vt fit 



,, d?'' ddQ!' d^-'S" 



d X d x — d x^ "■ 



fubftitutis in hac aequatione pro N", F", Q(' etc. 

 valoribus ipfarum , orietur ifta aequatio : 



f^^^Ndx- ^-fVdx-^-^ ■ Q 



I. 2 -^ I. a -^ I. 2 



(/«>--3) ffl-4) ^R ^m^.g^ 



a qua aequatione fubtrahatur fequens : 



if^^^Ndx^f?dx^(l--j-^. . . . ± ^zr. 



*^ dlr~ — ^^) - ^ 



refi* 



1. 2 



