114 
MEMORIAS CIENTIFICAS 1 LITER A K1 AS 
Sea 
u = v/a 2 - - x 2 . • . du = 
—x d x 
i/a 2 — x“ 
dv#dx 
V = X 
/ v/a 2 — x 2 d x= x n/ a 2 — x 2 + f — ^ ^ X — ; 
7 J v/ a 2 — x 2 
pero, 
Sumamos i dividimos por 2: 
v a 2 — x 2 dx = x v a 2 — x 2 + a 2 arc sen 
x 
(Claudel, 1129) 
3. / Vx' 2 +a 2 dx = x n/x 2 + a 2 
x 2 d x 
f Jx 2 + a 2 d x=a 2 
dx 
V x 2 + a 2 J */x 2 4-a 
f x 2 d x 
/ . / 4" 2 , 
Sumamos: 
J J x 2 -\- a 2 dx 
s/ a 2 4- a 2 
+ -^—L [ x 4- x/x 2 4-a 5 
