AND ON DEFINITE INTEGRATION. 49] 
By referring to equation (17) we shall have 
log. iis + (les. (4y—1)—log. (4y— 3))= 
ieee 1 l 1 l 
Bd = Voor ae : eal , 
1: (gay ag aig) tana yay Gyan) 
5 il 1 ; 
~~ 66.10.4 lees = pel +, &e. 
And by substituting this value of 3 — log. eee 4 
in the above equation, we have, for . quadrature 
of the circle, whose radius is unity, the following 
expression :— 
ae ahaa ag ot femme 
4y—1 
3 1 se oe 1 1 
2.4 (ga nd ayai)+ 4A (re 3) = wy=1y) r 
5 1 1 6a - fo = 
6.4.4 ‘Gea ~ (4y— ae t aa (cra), ‘a 
Be, AS690 I *  aed s4g525f | 1 See 
(4y—1)} 44.4\(4y—3)* (4y—1)]" 11.44 \ (4y—3)" 
] 
Gp tye)~ Bey BO vesecsssseeseccesseeccsessen (22) 
