( 755 ) 
c’ +5 
(a, cos @,)’ «.. (an 
du 
y(rn—1 =D 7 
fo J” (ua, cos a). . J? (uar cos Gy) — 
COS Gn)” 
If now is given c >a,-+a4,-+ ...+a,, then during the integra- 
tion the inequality 
C > a, cosa, + a, cosa, +... + an COS an 
will continually hold and the results concerning the integrals W, and W, 
can be applied. 
Remembering that we have 
2 
= ap cos?’+! a sin2#-2—| ada = nd 
ne?) T(1+m)’ 
2 2 r(2 
——_—_—. cos’+3 a sin?#——! ada = a ACB) , 
we finally find 
y+1 d 
WE Z an (ue) Ji (ua) J (ua,) … Jin (wan) ——— = 
GV GPa. Op en um 
0 
a F(1+?) 
25 T(LH-u) Plu) … PLH) 
„2 e du 
MES am foe (uc)J (wa, )J%2(ua,) ... J#n(ua,) ran 
a,t1a,Psantn,) uEu 
0 
2 v+1 2 vl 2 a E 
gent Fils) (1 +.) aS (1+un) 
(e>a, +a, — …… + Gy). 
In particular we find out of the obtained value for W, for 
w=t, vr=——} 
2? 
= . . . 
SUN UC SIN ud, SIN ua, . . SIN Udy Nn 
du = 9 d, A, « « « Any 
yn+l 
—— 
0 
for p= —}4, p= —} 
din uc COS Ud, COS fl eee » COS Un 
Saale ee Te 
0 
