Full text: Des Ingenieurs Taschenbuch

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fortfah- 
V. Differentialrechnung. 
67 
F. Integralformeln. 
a 
(7 - WO qe=f@ . 9@— fr@- MB dx [Theil- 
6 an+1 . : 
[z du =? +C weise Integration.] 
n—+1 
(a + dx) +1 
Rd zn 
(ca +0) z DD +C 
(= 1m + C= In cz 
x 
dx 1 1 
———— Z— b =—z—_— 
(A zn (a x) +C z In c (a + biz) 
[A 
z x 
RE 
s da eo+C: da ‘ —a 
. 1pm2 m Ar SL 3 Er ST ax 
a 
dz 1 1+z 
. u sk I — 
I ft zZ 1 C 
da 1 b ; 
10. u = — eo arct; Vz: 
fer Vab MO a +0 
1 —ab— 
= —————z In Ve — bi be C 
, 2V_—_ab V—ab+ box 
‘da 1 b-+cx 
11, BL A m Lkr 
f= 2bm + 0w?  Yac mb  Vac Fe 
1 2 ac—b— 
wenn ac —— b? positiv ;= ———— In Vöb ne be 
2 Voö?_ac Vo? _ac-+b-+ex 
1 
b2— ItiV = — 2 AC 
wenn ac positiv; ar wenn db ac 
(a-+Bax)dx _ ß ; o 
VE = in (a 20 + cal) + 
ac— 80 dx 
c a-+2bxz+ c? 
8 fa a ke 
(a+2b6x+cx?)? 2(ac-—b?)(d—1) (a+2bxz +cx?)p—1 
(2p—383)c " da 
en
	        
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