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# [ arosecx
-
-
cheated
Steven Salas
:÷ i ÷ ÷: ÷
SeiustConmrge
Geometric
•
E-oath
d¥[arocsox]=Ixh×T
Trig :
when
converges
-
otherwise
partial
-
Gahtttfwjpff
Ap
Fundamentals
:
"
r4
,
ginzx
diverges
zsinxoosx
-
-
cos 2x
coszx sinzx
-
-
-
.
Sn
sum :
AFI ,n=
-
-
cosy
# ot terms
HII
.
ginzx.tw#!fTIttan2x=sec2XJjaTtxEdx=ArosinaIto
atarotan 'T to
Ja¥dx=
p series
-
when p
converges
-
diverges
-
l
Hoot 4=0504
,
o.pe/f#fazdx=taarosedtatt
when
limits
Harmonic
Stant
Jsecxdx
Average
-
p
Inloosxltc
dx=
-
Faf!
.
MVT
Integrals
HIM
=
it
converges
-
"
.
inhjmaar
-
-
-
-
Yim ( HX )
:
etc
J!dltttxTdx
&
dy
.."
centered around ARI
-
J://xttftffh-DF-muafiqtfyqttng.ly
F-
=
Ky
yso
,
yet
a
,
-
-
-
yo
SPECIAL Maclaurin
Decay
:
BT ÷ FT
"
-
X
'
-
-
-
-
-
( t F)
KP
Eat (E)
'
-
C
f-
-
capacity
INCL B
-
Fatt
F-
"
W
-
fu
in which
( dogs
,
inverse
inorimentsotx
::÷÷÷÷÷÷÷÷*
.
is
t
If
"
then
.
C
"
lpenvatires
continuous & differentiable on Ea ,bT
,
lies
in between such that
.
.
'
f- (c)
=
b
-
a
Extreme valve Theorem
:
It
#
case
µ
.
of
A
.
derivatives
taken
.
t
is
continuous over Ca ,b] then f has
,
& a
minimum valve in the bounds
maximum
ROW 'S Theorem
,
conditions
:
Dth) is continuous
Ea, b ]
over
2) tox ) is differentiable over
fcb )
3) fla)
HATE
.
.
Three
:
du
a-
# ¥
'
-
qq.fygq.oy.f.co,*y÷
,
Parts
t
centered anywhere
EE
Integration By
I txt
Taylor
carrying
-
( odds)
.
or
-
Levens)
-
Growth
logistic
e
e
ffbj-ffajcosx-I-E.tt#
tf
six
eat
-
,
F
=
Mean valve Theorem
May.tk?cxrg,k=#ofaidgrinvatires
Exponential Growth
#
Euler's Method
#
.
o
:÷ ÷ ÷ ÷ ÷ ÷ ÷ ÷i :÷i ÷ ÷ ÷
÷
I
,
Ying
Ymo s¥=o
Yin ( HT )
series
Hsi
a
asanas
fix > dx
.
-
"
i
Distance
-
Alternating
dnlsecxttanxltc
-
fin sift
Always diverges by
t
ca
,b )
-
trig algebraic trig exponents)
,
,
Then there
is a
valve
"
C
"
such that
Fcc)
-
o
2nd Fundamental Theorem of calculus
Extra !
fffetparametrics
e.
-
dffft-aedtxfatltldt-flxlq.ca
Proof
,
.
-
do
]
constant
Fifth ]×a]→ # TECH D→fCxs
:
-