AND ON DEFINITE INTEGRATION. 493 
Rg) (eet ge) a) (a 
f(x) = - asp — aay) f(a) =-25.3.4.5 
(ocay~ ay) | 0) ae =— S24) 
Substitute these values in equation (15) and 
we shall have 
e 7 x 
1 Pee 1 UPd! 2a 
i Fe -~3)= ( aE i al log. te 
Qy 1 l 1 1 1 
log. 2y—1 ) Baer (eh 7 Qe ~ Qy=I +5 )- 
1 1 | 1 1 ] if i 
GaGa Gate + 15 | @z—1y > 
1 1 8 1 1 
(2x)! ~ (2y—1)! + (yy! es | Gay ~ Qay + 
] i 
(@y—1y ~ ary) + &e., &e. 
ay) > al apap - ayy) + a0 ayy ~ 
] ] ] 
Ba) a za Gay (2y—1)° ~ ayy + &e., &e. 
3U 
