1 1 i METH. FACIL. ATC^E EXPEDIT. INTEGR. 



modi pars (jipj^ "^ (f^i^)~ "^" w^ ' ^'"*^ ^ ft-ad onc 

 ^ ablatd rclinqiict frac^^ioncm ^ «^xiltcnte S = { f^jx)* • 



Fiet ergo T — (^jx,^ 7 qiv.ic,cnm qnan- 



titas integra eflc dcbcnt , oportcbit M-AS-B (/)H-^.v)S 

 -C(/.-H/7.r)'S lcn ^ - A-B (p-H^.v)-C (p-f-^.v)* 

 dinifibilc cllc pcr (p-t-^-v)': id qnod cncnict , fit ct 

 ipla ill;i qn:nitit;is, ct ciiis ditfcrcntiale , ct eins dilfcrcntio- 

 dilfcrcntialc fucrint pcr p-\-qx diuifibilia. Qiiaie lcqnca- 

 tes trcs cjn.mtitatcs 



f-A-B(/,-f-^.v)-C(p-|-^.v)* 



d.~- V>qdx - 2C (p-i-^.v) qdx 



dd.~ — iQqqdx* 

 dinifibilcs clfc oportct pcr p-\-qx:, idcoqnc fingnlnc , fi 

 in ipfis ponatnr p-\-qx — fcn .v — — ^ , cnanclccnt. 

 Ponatnr ergo in fingnlis .v ~ — ^ , atqnc ex prima orie- 

 tnr A. — ~ :, ex fccnnda B zr -;^ d -i et cx tertia Cir 

 • '^,1 - dd.T. His coclficicntibns inncntis ex denomina- 

 toris N fKflorc cnbico {p-\-q.x] orictnr fcqntns intcgr.i- 

 lis pars 



M r dx , I J M /. dx ^_ I J y ^ r << Jf 



S •7(j-(-M,« ~T- ,jdx "• b • / (r-f-7.t)' "" »1' Ja' "" • i •J f~i- IX 



pofito in ccKilicicntibns \biqnc — ^ loco x j ac cMlUiitc 



•> — (r-K/i;» • 



§. 17. Simili modo fi ponamns fi)rmnlac di^lcrcnii.Uis 

 jj i/.v dcnominatorcm N qnatnor habcro ficlorcs aci]4ialcs 

 fcu dinifibilcm eflc pcr (/>-f-^.v)*, ita vt fit S — (-—;-♦ 

 qnantitas intcgra. Qiiod fi iam cx Ikk ficlore (p-\-qx)* 

 nafci ponatur ,(U intcgralis p;iri Ay^y^* -i- B /^^—7^.' 



-t-C 



