Page 73 - Math Grade 12 (Advance)

PROEUS DARA

y
C : y = f(x)

x' X

y'

AS
~ f(x) < ~ <f(x+~)

mr:1H1.m ~ 2nt94nn o mms lim f(x + !:lx) = f(x)
~x--->0
EjLHS8 lim ~ = f(x) 'U S'(x) = f(x)
u ~x--->0 LU- "'-
S'(x) = f(x) ffiSa rum S(x) m1Jli59~1Jruls f(x)

tU F(x) m1Jli59~1JtllCS f(x) ung S(x) = F(x) + c ' c E R

0 ~
mmgx=a, S(a)=O tUltllO=F(a)+c ~c=-F(a)
tt:ltnS S(x) = F(x)- F(a)

tux tL'Utyruri a t94 b tSlg
1.1
s = F(b)-F(a) ml~LiiftlltsltH~8t2Jtfilb c : y = f(x) SbHnJHlU~tuLfi~Sb
u
XE[a,b]'i
Ejmsg lim S = s = F(b)-F(a) tt:lRMG'imbctrur;jn
U n-?+oo 11
"
F(b) F(a) = lf(x)dx t'Ulim HlbtfiLfilruRru-tG'iri a t94 b tS y = f(x) '1
a

§wHim : f m~H~t:l-eamtinlim~g [a, bl '1

"
{t(x)dx = F(b)-F(a) t'Ulim HlbtnLfilruRru-tG'iri a t94 b tS y = f(x) '1
a

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