Full text: Nouvelles tables d'intégrales définies

F. Alg. rat. fract. à dén. ¿г? 3 , a? 4 ; 
Exponentielle ; 
Circuì. Directe. 
TABLE 370, suite. 
Lini. 0 et co. 
Arctg - ( r + °y~r Arctg r +l - (г->У ~Р г Ant T-, _ 
p 8 J p 8 J p 
*Р 1 {р' + (*Ч + г + *У) + 2 ‘ 1 ~ л 1 + %1\р г +{и-г+*У} + 
16 " lX 1 I ' 16 
-■ gl TF -pl^+iZq + r — S y } — ~ ■ -, Г~ S Pl [p 1 + (3 7 — ' — s) 2 } 4- 
16 - i- '' ' 16 
+ ц!т^{^ 2 +с+^) 2 } -ь—g-%4^ 2 +(*■— s ï'] 
4' 
e~ px Sin 2 qx . Cosrx — 
dx (3 q -j- r) 2 — p - 
16 
Arctg 
3 q + r . (3q — rY—p 
P 
+ 
16 
Arctg 
3 q — r 
P 
- 3Îi±^! Ardg^-Z^^É-Arctgî^ - *i+VbM-Pi + O*} _ 
- 4P V ' 1 &‘ + ( 3 :i-’У' Ì + SpiÌ iP 1 + {q +O‘} + t=£ h>* + (î-Л 1 ) 
6) Г e~ pJ: Sin' 1 q x = ^pq Arctg — —pq Arctg — — -—l (p- -¡-16 q') 
V *P ]? 
7) Je~ px Sin 2 q x . Sin 2 r x . Sinsx 
+ p -CAAi[p'+iq')-*Aip 
dx _(2g—2 s) 2 — p 2 A ^2q—2r—s , (2 q-\-2r—s) 2 — p 2 
32 
P 
32 
Arctg 
2 q + %r — s _ (2 g — 2r-f д)* —p 2 A 2 g — 2 r + s _ (2 q -f 2 r -\-s) 2 —p i 
P 
32 
P 
32 
Arctg bjl+ll+Л + (а.?+«Г--^ A *£+f _ (Iq-.y-p* 2g-< 
P 16 p ]6 P ‘ 
4- 
(2y-f-«) 2 —P 1 a * 2 î* —^ (2r — s) 2 —p 2 2 r—■s , p 2 —s 2 , s 
16 - A,Ctg —p Ï6 ~ Ant! > — + —S“ Ant * - + 
P 
P l \P 1J rVl + *r + °y] + + 
-~ 1 рр1[р'М^ + *У\+^р1[р*+{Ч-1У}-ЩУ-р1{р'+(*г+*)'} + 
1 ‘ ’р1\р' + (гг — »)*! — Lw(p ! + »’) 
16 
Раке 522.
	        
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