MAC 2312 Study Guide - Summer 2018, Comprehensive Midterm Notes - Trigonometric Functions, British Academy, Cognac
12 Oct 2018
School
Department
Course
Professor
MAC 2312
MIDTERM EXAM
STUDY GUIDE
Fall 2018
5115118
Area between Curves
Tuesday
Area under curve (Review )
If f ( ×)> 0 On [a,b],then area under curve is '
.
A =)ba f(×)dx
^
area Of Small
is : DX .f(xi)
4 then limit
t.EE,
versus
t.at#
Area between curves
L,y= fcx )y
=gc ×)
,
on [a
,b]
^
* height of the small rectangle
-
yY=fc×
)
is : fcx ;) -gcxi )
|i=al%Uy
.MY "
a =fba[ fcxi -gcx ']d× .it
: i
We know that f ( ×)>gcx )
Example
find the area of the region bounded above by
y= et cbelow by y
= ×
,&by sides ×=o and x =\
Soln :
A'S 'o {e× -×}d×= Slo etdx .Sloxax = e -i-tz
find more resources at oneclass.com
find more resources at oneclass.com
5115118
Area between Curves
Tuesday
Likar,
oeneriiiiriiij
.
;ii÷i .
In
A=fba /fcx )-
gcx )| dx
Example
Find area Of region enclosed by two curves 8
y=×2 and y= zx -x2
!1!sketch graph
¥
#
,
!2!work out a &b
!1!y=×2 and y=2×
-×2intersect when
in
×2= z× -×2 ,
>X= 0 ×-1
2×2 -Zx = o
/
!2!A:[ [zx -x2 -x2 ]dt=Sj zx .flozxzdx =x21lo -5×21 !
=1-}=
tz
find more resources at oneclass.com
find more resources at oneclass.com
