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d lnx S dx LnlxltC
dat oilna
insertpage
RIEMANN Sumsum
j.eight
fcxsb.ttEYughainnsegiasqxs
x
fig base heightbase DX
this gets us area of a finiteof rectangleswww
n'isms EE base height
this gets Us area of an infinite
of rectangles
mutism
Ff Dx flxisame area but in terms of X now
mum
insert page tip box says Do NotMemorize the RULE
TrapezoidsMT
A I.h bit bAt
A at.dk tffx IfCx tffx IffxfIfxyfCxfCx fCx4 f Xs
what if
Xs are NOT
evenly graced
Xo X Xz Xz 24 Xs
A tz bXa f tfx.Dtdxbfflx.lt tAxcffCxdtfG
gtAxdffLxdtfxAtffCxHtf
S H dx
if xdxtfobx.de
Sbaflx dx area under littlefA if G quad
Il l
lfoeingafuttef
area above area below 1a b
FTC Part 2
Fundamentaltheorem of Calculus
b
f fCx dx Fcb F a YET CHANGEA THEOREM
jFHneatnBEE
OVERALL How moot
Fail
c.mn
a
FTC part Imm
Stef Hdt
adz F x Fla f x
fittedda f 2
2 Fca f 22 4x