AND ON DEFINITE INTEGRATION. 487 
By substituting these values in equation (15), 
we shall have as follows :— 
= (a+bo+02*+ &e.)=(a(e—y) +5 (a*-9") +4 
bY 
(2° —y’) +80. )+5(a+b(2-y) Fe(a-y)t+dr— 
p)-+ho,) + (teem 9de a) Hae —V) | 4.) 
_ [3].¢+[4] e(z—y) maT a {ete g(#—y') +&e. 
PEC AUC Bee cued nant he oaniathanasate.t see wine ts (19) 
If we take y=0 we have 
x 3 
b 2 3 
x .(a+be+er )= (a+ 545 etka = i = ; 
0 
& 2 3 
x. (a+be+cex +dxr )=(a+5+<) wt(S+$ 
a) 
d = ovdi 28 dof 
ra a - - i b c e 
> .(at+bat+exr + dx +ex )= Bites eg 55 | 
nd Ja(ar dre —4 
b c d 2 c d e 3 d e 
+(gtgts)e+(g+ets)e (7) 
4 5 
en 
av ararTe 
as 5 
