*wG 6&n”fl63~&WUcR (The Definite Integral)

6VI% tGhuunuwmau 1’ + 2’ + . . . + 52 f 6* 6-s E iz

i=l

n

x F 6) = F (m) -I- F (m i- 1) + F 6x1 + 2) . . . + F (n - 1) + F (II) (6.1.1)km

MA 114 33

I: F (i) = 2 F(k) = E F (j)i=m k==m j=m

E 3i E 3.1 + 3.2 + 3.3 + 3.4 -I- 3.5I=1

71

kz2 k+l =l + ’

12+1 3+1 + . .j. 1 +6+1 iTl

2

zz (-1)‘m 2

ill=-I m2+2=

(- 1)2+2 + ($z + (I):+2 + 02+2

I: Et*= a0 + a1 + a2 + . . . . . . . . . + ~-t + G;is0

5

I: f(xl) A ix = f(q) Atx + f(x& Asx + - - + f(x& A5x14

34

(1) ; c = al t&l c Lhi7”Ji? (6.1.2)id

(2) L c P (i) =

I

c XI F (i) do c tihdlcto~ (6.1.3)14 l=l

MA 114

n

(3) i (F(i) + G (i)) = C F(i) + i G (i). (6.1.4)i=l i - l i=l

(4) i [F (i ) - F (i-1) ] = F (n) - F (0) (6.1.5)ix1

n (5) i i =i=l

(6) Liz =i=.l

(7) ; i3 =Id

(8) l id =i=l

n (n+1)- -1

n (ntl) tzn+ 1)6

113 (nt1)2- - -4

n (ml) (6n3+9n2+n-1)

3 0

n

ih.h 6.1.8 QJ#lfil~DJ ZZ i (3i - 2) ItTlUla*fp~IJUii=l

(6.1.6)

(6.1.7)

(6.1.8)

(6.1.9)

II 11

Z i (3i - 2) = Xi (3i2 - 2i)14 i=l

a

= E 3i2 + ZL L--2iJi=l i=l

I) zl

=3Xi2 - 2 Xii=l i=l

= 3 . n (n+l) (2~1) _ 2. n b+l)6 2

2n3+3$+n-2n2-22=

2

MA 114 35

J 20 1100-x2csz o- ax - 7 x 2 0

1 0 0

MA 114 8 1

= 11 x- +. * p1

2o - 1400

PS ZE 7x20- s20 x2+ ~400 dxo

400

8 2 MA114

R (x) = 640x-16x2+~x3

R’ (x) = 640-332x&'

c (x) = fx2+100x

c’ (x) = x + 100

R’ (x) =. C’ (x) rw\i

cs = j-7 (ao;ox)z dr-360 x20

I (60 -x)3= -... -P

- 720010 3 0

84 MA114

11

2)

3)

4)

5)

6)

MA 114 8 5