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1. .R(x)=PQnm( x)( x)=nn−1a x + a x + L+0m1m−1b x + b x + L+01abnm m , n ∈N + , a 0 , a 1 , ··· , a n , b 0 , b 1 , ··· , b m a 0 ≠ 0 b 0 ≠ 0.
.( 1) n < m,R(x)=PQnm( x)( x)( 2) n ≥ m,(3) AA , ,( x − a )k( x − a )Mx + N ,2x + px + q ( xMx + N2 k+2k ≥ 2, k ∈ N , a,A,M , N , pqp − 4q< 0.+px+q ).
Page 2 and 3: 1.F(x)= f ( x)F′( x)2e x d x,∫
Page 6 and 7: 2. (1) ( n ≥ m ) + *R ( x ) =
Page 8 and 9: Pk( x)(2) k < mQ ( x)m :∗ P ( x)
Page 10 and 11: MkAi( i = 1,2, L , α ), L,B ( j =
Page 12 and 13: x + x − 82 .3x − x2 (1) Q(x)=
Page 14 and 15: (2)22x + x − 8 = A(x − 1) + B(x
Page 16 and 17: 3 (1) 1x(x −21)1x(x −=1( x −
Page 18 and 19: (2) 12x(x − 1)=AxB+( x − 1)+C2x
Page 20 and 21: 3.,ln)(CaxAdxaxA+−=−∫2)())((1
Page 22 and 23: k = 1, ∫+ +k > 1, ∫+ +x( xMx+
Page 24 and 25: 5∫x5 4+ x −x3− x8dx.o1x5x+3x4
Page 26 and 27: 6∫1x(x −1)2dx.312x(x − 1)=1x+
Page 28: xxxxxd15152d21542∫∫ ++−++=∫
Page 31 and 32: xxxx)d1)(11(246∫ +−=xxxd1)(126
Page 33 and 34: =1[4t 4 1− ∫ ( −t + 2 t +)d1t
Page 35 and 36: 2 A 1.∫ d x= A ln x − a + Cx
Page 37 and 38: 1. ∫R(sinx,cosx)dx1 1 ∫1+sin xc
Page 40 and 41: sinxt = tan x22t1 − t= cos x 21
Page 42 and 43: 111 ∫ d x.4sin x(1) tan x2t2t =
Page 44 and 45: 1(3) ∫sin= ∫ (1 +4cotxx d2x)⋅
Page 46 and 47: 12tan x d xtan x= ∫= ∫ dtan x22
Page 48 and 49: 2. xxxxxxxxRknnnd),,,,( 21∫ +++++
Page 50 and 51: 1 1 + x15 I = ∫ dx.x 1 − x1 + x
Page 53 and 54: 2n( 1) ∫ f ( x , ax + b )dxa x+bd
Page 55 and 56:
17 d xI = ∫ .3 − 2sin x P410
Page 57 and 58:
n1.∫ R(x , ax + b )dx, t = n a x
Page 59 and 60:
3 2x + x + 23 -1 I = ∫ d x.2 2x
Page 61 and 62:
x + x + 2 I = ∫ 2x− 1( x +3221)
Page 63 and 64:
8-2∫+++ xxxd4)1)((224)(1)(22+++ x
Page 65 and 66:
9-1 dx1 ( x 2 + 1) − ( x 2 − 1)
Page 67 and 68:
10-1 I = ∫ d x u = tan x23+cosx1=
Page 69 and 70:
12-12*xbxacossin +0)(d)cossin(12≠
Page 71 and 72:
d x14-2 I = ∫ =3 ∫x + x t2 1= 6
Page 73 and 74:
17-2 I=∫( x2+2x( x++4)4)dx2x+2x+5
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4.4 æçå½æ°çç§¯åä¸ç§¯åè¡¨çä½¿ç¨(pdf)