Class notes for Calculus 2 (MATH 102) on Chapter 5 Calculus: Early Transcendentals

5. I
2- ) f- (x) 1,2)
,÷ [ four
rectangles n -4
-

=



,




a) Da -

-

2-1=1
U U


l l l l l


54 Gu
2
Yu
l




A -_Ru=Dx( ftp.ffkul-if/7ulef(2) )

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- '
- A



b.) A=Ly , e l l l


Gu
2
l
Ju Yu

A -
Ly -




-




Bx ( fu) +
FISH -if( Gatefold )


23 I
-



f- ( x) -

-

Stix) ,
0 EXIT




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I




Use : ) & DX -_
be Xi =a+DXi
,


h




}
DX
Tnf E
-




-
-
-




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"i
--o+is×=

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tannin
Solve by with the definition
comparing
:




}
fish Dxfcxi ) "' '




II
& knit .




;÷
it!n
,




Ens E .




Xi DX b-a_ I
ein
=
a + iBx= a t i. = =




n 4h

b
hiya I
÷u=b In E,
a
-




+
-
= - -




Um


a =0




I
° * '

fix) .


-
tank, .



^
/ l




l

l
l



l l
l l
,

l l "




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l
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l
l
l



l l


l
l
l
l




V

, 5.2
I -



) flex) -


- X -
I
,
-6 EXE 4
,
n =5



Dx= )
4-51-6
2
If
= =




-



4
-



2 O 2

A DX ( ft 4) fl fuel )
a
Rs =
-




+
-
2) + fcoltfc2) +




=
2 ( f- 5hL -



3) + the ( it + (3 ) )

A =
Rs = -
10



at [ Sinixt dx
,
n -




-
u



b
-
ffWd angry o
: [Sinrxdx
,
f- ( x) -



-
Sinixt ,
of X E 8 ,
n =
4

i 3 5 7
DX
8¥
-




-

= 2

2 4 6 y
This wants mid point
question the solution via so :
-




A -
tf -
- DX ( ful fed + + fest + fu ) )

=
2 ( Sincil Smc 3) + + Sins) + Smh ) )