{ fifth dt + f f. f Ix dx = Ln x x C 1h ( o, too ) J f- dx = lnexltc. f x' dx = integrate indefinite di. giraffe. formula so la. feud.

(1)

CELANO

del to teoreuea

feud

^. ^del ^caleb

^integrate

Se

f

ê- ^continua ⁱⁿ Î întervals ^,

^allora

f

^am

^mette ^primitive

ⁱⁿ ^I ^, ^e

^guest ^primitive

^socio

date da

{ fifth

^dt ⁺

^Cs

^, ^c^, ^e

^IR ^}

dove ^CE Î ê- ûn

punto fissab

^.

DEI ^Sia f defends

ⁱⁿ ^I ^interval ^.

Si dice

integrate ^indefinite

^di

^f

ⁱⁿ ^I

l^' insieue delle ^sue

primitive

^, ^e ^si ^indica ^con

f ^f

^dx

f ^x'

^dx ⁼

f

⁺ ^c ^, ^c ^e ^IR

⁾

ⁱⁿ

^IR

spew

^si ^om^ethno ^le

parents giraffe

J

^e^"

^dx

⁼

^e'

^'^te ⁱⁿ ^IR

f ^Ix

^dx ⁼ ^Ln ^x ^x ^C ^1h

⁽

^o ^, ^too

⁾ J ^f-

^dx ⁼

^lnexltc

^an

^C-

^oo ^,^o

⁾

e , in una

formula

^so^la ^,

(2)

J ^f-

^ok ⁼ ^In

^1×1

^t ^C eⁱⁿ in

^fro @

^, ^too

⁾

(

^N^. ^B ^. ^C

_fond

ênsure ^diversâ ^nei ^due întervals

)

Ktteoreuea priori

assume^re Cosi

feudameuhde

: ^del ^calcote ^si

f

^continua ⁱⁿ Î întervale ^. Âllora

ffcxldx =%×fCt7dt

⁺

^Ce

^,

^GEIR ^}

oboe ^c

fissaf

ⁱⁿ ^I ^.

Different

^a ^tra ^:

oink ⁽

^o ^di ^Riemann

⁾

^.

fab ^f

^dx ê- ân ^numero ^, ^che ^si ôltieue

con

it process

^di

integrase

^'^one

⁽ ^partition

^;

Somme

superior

^e

inferior

^' ^, ^etc ^. ^. ^. ^.

•

integrate

^-

^indefinite

f ^f ^{Cx ) DX}

ê- ê ^' îhsieme ^delle

^primitive

^,

quinol

^' ^un ^nisi ^eine ^di

fusion

^:

ed E un cavetto di Calcote

differential

^.

(3)

secondoteoremafoudameutaledelcdkedoiutegrale.si

a

f

^e

Cfa

^, ^b

^] ) ⁽

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f

^continua ⁱⁿ

^Ca

^,^b

^] )

⇐ f

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^Rfa

^,

b$ )

^. ^Se â ^{Cx )} ê- ûna

qudsiasi primitive

^di

f

ⁱⁿ

^Laib ^]

^, ^si ^ha

f

^note

^Te

fab ^f

^dx ⁼ ^G

^Cb ⁾

^-

^Gca ⁾

⁼

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X=a

Application

fo

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^q

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^(E)

^- ^seu ^o ⁼ ¹

OSI ^: ^seu ^x ^E ^una

primitivo

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X⁼ 5

143×3

⁺ ^dx

^q ^(4×4-1) ^/

¹¹⁼² ⁼

TF fizx

^' ^-

^÷

^aus

pnmhvodifcxl ]

=

?¥

⁶²⁵ ^-

Ig

^-

34.16

^t

Iz

⁼ ^. ^- ^.

DiM.TE0REMA

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f

^continua ⁱⁿ

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^, ^b

^]

^, ^e

si ^a G Cx

)

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primitive

^. ^D ^'^alta

parte

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Fa

^CX ⁾ ⁼

faff ^Adt

^E ^una

^primitive

^de^'

^f

^{Cx )}

(4)

per

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^.

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Fa ^{Cx )} differ

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a

Cb )

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^-

facto ⁾ ₊₄ ⁾

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face

⁾

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⁼

=

fabfctldt-fafkldt-fabf.lt/dtfz

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si cienuncia ie ^TFCI ⁱⁿ termini di

integral ^definition ^indefinite

'

?

[ ^f

^dx ⁼

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§

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feud

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ez

⁺ ^c

J

le 2° ^koruna

suggeoisee

^un

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dell ^'

integrate

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segment ^formula

^.

fabf

^' ^dx ⁼

^f ^(b)

^-

^fecal

^.

^Cx

⁾

(5)

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f ^freudian

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⁼

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guide

all

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.

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^*

7) f ! _! ^# ^dt=

^-

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^-

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spaziopercorso

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se

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acceleration

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(

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⁾

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ciano ^a

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al ^couture ^" : esse di vents^no labelle delle

primhve

(6)

tbeKedelleprimti

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(7)

sink

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coshx sinhxtc

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=

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=

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^-

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seuE/od=tg§eu4

⁺ ^seas

⁾

(8)

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f.

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⁼

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]

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=

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f

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[

^cos^2x ^dx ⁼

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⁼

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^.

fiizsenxdx

⁼ ^°

% ^,

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dispar

In

generale

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⁼ ^o

^Ha

^>o^.

(9)

Se f fosse pars

^. ^?

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⁼ ²

^f ^! ^fcxldx

:#

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=

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f

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⁼ ^- ^cos^xx

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⁾

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f C-agsC2D_Ydx

self

^x ⁼

t-qs@

(10)

=

tf f ^@

^- ²^cos

^@

^x

⁾

⁺ ^cos

³⁶

⁾

^dx

⇐

tf ⁽

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⁾

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f ^1+2*4×7

^dx

)

=

If ^3zx

^- ^seu ⁺

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^cos

^@

^x

⁾

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)

⁼

=

¥ ( ^Zz

^x ^- ^seu

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⁾

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⁾ )

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=

fotseuxdx

^-^-

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= 3- ^IT ^.

8

Integra

^si^one

^per ^parti

^:

Formula

per

^la ^dentata ^del

pro

^delta ^:

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f

^e

_g

^E

Ctffa

^,^b

^] ⁾

^, ^all^as ^la ^dentata ^del

^pro

^dello

ble

Cfg ⁾

^' ⁼

flex

⁾

^g

⁺

^f ^g

^'

⁽

^*^*

⁾

Se integer

ⁱⁿ

^fab ^]

^,

ottengo

^:

b

flag I

⁼

Jabcfglicxldxfaf

^'

gcxldlxtfabfcxlgcxldx

a

che ^n'^scrim ^Cosi ^:

(11)

jkfcxg④dx=f④gxYa-fafx7gCxl€#

formula

^di

Integra

^.

^per ^park ^per ^integer

^.

^definite

^!

Sempre _portend

^ads

^@

^*

⁾

^, ^si ^oltieue ^la

formula

^di

_integrase

^.

per parti per

^int^.

indefinite

fcfgl

^' ⁼

ff

^'

^g

⁺

If ^g

^'

^*

^I

Y"fY④gd×=fg*ff④gax#

fxexdx

^w ⁼ ^x

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^-

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^-

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^, ⁼

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⁾

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g

⁼ ^x

g

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f

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fY*Tgk1 ¥pii ^complicate

f

^' ⁼ ^x

f

⁼

XI

^di

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_ON ^di_CONVENE

^patentee ₎

(12)

get

^-_

^ex ^g

^' ⁼

^ex

se

fesse ^Stato

f !

^x

^ex ^DX

ⁱ

be valet

o o mi calcolo

prima

^l ^'

f ^indefinite

^e

^poi

the ^o ^e ^se

di

f

_per

Parti

au^' int.

deficit

•

op pure applies

^la

formula directorate

f ! ^xexdx

⁼

^xe× lot

^-

^f !e×dx

⁼

= e ^-

(

^e ^- ^s

)

⁼ ^I

Eseiupio

_-

J

^~^x ^dx ⁼

^x2e×

^- ²

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^x'ex^-^2x^e'^'⁺²

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⁾ ⁼

^ex ⁽

^x^2-2×+2

⁾

^c- ^c

g

⁼ ^x^'

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f

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Eseupio

flog

e ^xdx ⁼ ^'

I

Calcdiamo ^I ^'

f ^indefinite

^.

(13)

flog

^xdx=

ft

^.

^logwxdx

^-

^xlogx

^-

^fx

^.

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flea _g

=

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f

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get

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integrate ^defino ^per ^park

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ft

₁

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f

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x)

,

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⁼

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= ^-

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f'

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f ^=e×

gk

⁾^-^- ^seu

^@

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(14)

to

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f

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)

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- 8

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formula

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sin a

cost

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⁼

(15)

zf-agsf4xI_saosz@x1_Jxc0SIComesivede.usaudometodidrbersi.s

= ^.

posse

^- ^trouser

primitive apparent

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diverse

, ma in reata^'

differ

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per

^una ^costate ^.

{ fifth dt + f f. f Ix dx = Ln x x C 1h ( o, too ) J f- dx = lnexltc. f x' dx = integrate indefinite di. giraffe. formula so la. feud.

CELANO

feud

integrate

f

allora

f

mette primitive

guest primitive

{ fifth

Cs

IR }

punto fissab

DEI Sia f defends

integrate indefinite

f

primitive

f f

f x'

f

)

IR

spew

parents giraffe

J

dx

e'

f Ix

(

) J f-

lnexltc

C-

)

formula

J f-

1×1

fro @

)

(

fond

)

Ktteoreuea priori

feudameuhde

f

ffcxldx =%×fCt7dt

Ce

GEIR }

fissaf

Different

oink (

)

fab f

it process

integrase

( partition

superior

inferior

integrate

indefinite

f f Cx ) DX

primitive

quinol

fusion

differential

secondoteoremafoudameutaledelcdkedoiutegrale.si

f

Cfa

] ) (

f

Ca

] )

⇐ f

Rfa

b$ )

qudsiasi primitive

f

Laib ]

f

Te

fab f

^integrate

^allora

^mette ^primitive

^guest ^primitive

^Cs

^IR ^}

DEI ^Sia f defends

integrate ^indefinite

^f

f ^f

f ^x'

⁾

^IR

^dx

^e'

f ^Ix

⁽

⁾ J ^f-

^lnexltc

^C-

⁾

J ^f-

^1×1

^fro @

⁾

_fond

^Ce

^GEIR ^}

oink ⁽

⁾

fab ^f

⁽ ^partition

^indefinite

f ^f ^{Cx ) DX}

^primitive

^] ) ⁽

^Ca

^] )

^Rfa

^Laib ^]

^Te

fab ^f

^Cb ⁾

^Gca ⁾

^Gay

^q

^(E)

^q ^(4×4-1) ^/

^÷

^Ca

^]

faff ^Adt

^primitive

^f

^ihtegosle

Fa ^{Cx )} differ

_per

Fax ⁾

^{Ca )}

facto ⁾ ₊₄ ⁾

_ty ⁾

integral ^definition ^indefinite

[ ^f

⁽ ^If

⁾ ^/

^e ^/ ?

^ez ^Cee

^et ⁾

( ^Caleb ⁽

⁾

^primitive

^e2×

le 2° ^koruna

^alla interpretation

segment ^formula

^f ^(b)

^fecal

^Cx

f ^freudian

^Ct ⁾