Quadratur (analytische).
233 Quadratur (analytische).
x dx
]/(a + bx)'
l 4 ) f
dx_ _ sfx
J fx* ~T"
/"fv = (tx ’~ 1 “ x + “’ ) ir
( A X.-t,x- + l a.X-«.) 8 -^
./ yx 2 4
*x i dx
Sei a+bx-X.
syx
Ap = (TVX 4 -§rtX3+f rt 2X*-«*X + rt*) _
./ yx 2 65
/
a; s da;
„ = (irX»-AaX*+fl*X»-Y« s X* + |a*X-a») , - r -
yx ? 6®
15) f
• / 3
%
dx
x n f (a + 6x)
r dx Ir Vx—fa 1/0 gf/x + Val
/ -TT =di 1 g L ^7 J: -+y3arct g -!—-£-L
J *Vx Va L Yx YsYa J
fx
sfx
1 6*
Sei « + 6a; = X.
/ dx __V_X^_± r dx
x 2 fx (lx 3a ^ x^X
1 , 2t \iVi 2t ‘ r dx
J X'fa 2 “ 8“**' r 9a2 d
r dx _ / _1 76
J x*Yx ' 3aiB * + 18a 2 a;
/ da; _ / 1 5 h
x^X ~ ' 4<?a;4 + 18«V
146 2
‘27a 3 a
356 2
\Yx*- lus i -
i6)
108a 8 a;
dx
-■ +
356 3
if/y. I 85t»
■/' m„‘J ¡ /w .
xy X
x m Y{a + 6a;)’
81a 4 a;
Sei a+6a; = X
/
da;
a;yx 2 /a 2
= f[i ,g fc-J-vaarctg^ + ^-l
yi
dx
dx _ _£x_26
yx 2 ~ 3a J xYx
y3)/a
J
r dx _ / 1 56 \ |/„ 56 2 f* dx
J x 3 Yx' ! ~ ' 2 «** 6a? *' da \J xVx*
/ dx l 1 46 , 206 2 \ |/ 406 3 n dx
ajiy'x 2 ~ ^ 3ax% + 3a * xi ^ a$x ' * X 81a 3 / x y Xz
n dx _ / 1_ 116 __ 116 2 556»\ Yx 4- mii C dx
J x 4aa; 4 36a 2 a: 3 27a 3 a; 2 81a 4 av 243 a *J x Yx :
15 *