Full text: Des Ingenieurs Taschenbuch

CC 
( 
+ CC 
.nten 
[IX; IV; 
u 
Lex?) +C 
N 
x 
;; der BPe- 
V. Differentialrechnung. 
2C 
6 fee, [en 
Va+2be-+ox? m+ GC m6 X 
_ (2m—1)b (wm doa 
mC . 7 
wenn X=Vo+rt2bz-+ox? 
1 
Wenn m negativ ist, so führt die Substitution En auf die vo- 
rige Formel zurück. 
C z)da aß — ba) + (Dd8—ca)z 
26. + C 
X (d?— ac) Var 2bz-+o0x? 
am (aba) 
m— 1 Rn, EL — 
27. f- (a-+dx)* + dx (mn) 
(m — 1)4 8 
SL MM) b nd 
m n)6 zr— (a-+ bez) z 
x" (a-+ ba)* na 1 
FE EAN — M—. b n—1 .° dx 
mn +30 fe (a + %) 
28. fra 
Ina 
29. fine .‚dxz= —cosz—+C; fooswde= sine C 
30 fein? erde = — 4 eos msn a Aa Oi 
foot u. dass }sinweosa- ta 0 
1 X 
31. sin mxdt = — SOSE + C; foosmade= Zi C 
m m 
J sin” dx und / cos” dx erhält man hieraus mit Hülfe der For- 
meln .im Abschnitt e S. 53 oder aus 36. unten. 
32 (tg z-da==— In cosz-+C; foote da =1n sina +0 
dx x dx NT x 
32 (my tg — C; —— = It (* 5) C 
sin x ae at (zz) 
[_d% wat+C; dx + 
A > Jeos?xm 5 
d 
35 fsinzcosz.de == +4sin?z—+C; ae ==Ilntgz+C 
Sin COST 
”n . n— 1 —1 
36, femme. dx az BL 000 a *— feinem ‚dx 
n n 
43 n—1 _ 
[cos = da (cos? x «da
	        
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