24/2/2
6.4
6.4 engeh of a p dne A
Con&a der pane cve y= T(X) /e an
nt aralTa,a. Cnbñunus on [a, 4] ohen
hal y= f(x) a
smo,th cuve
Gn a, 7 Ohal a Smasdh fun01 n
J = d(x) S moo&h h i anl-eval
Ca,A7 ohen h aeengh Lqe Jhis cve
ores a,] defaned a
L
P2oo
P
Sub sntavalsb ansaing P
Jpon
JPons , g Xn- bd
nd hal
b y
Q= o and = %, eb
e R, , e h
poans
a-. 1 n and yosn
hse pons thssiaiy h
äte egmenls. Jhese Qsrs eey mens fo am a
p gonal
hal we tan y d a» an aepxo xamalsn
pa
s 9ha Ce 9=f(1). ee
Kek e
etyh
SoNe egmen
, Jhen JJ
By M.UT
By (4)-{(%) )hu ¢/8
4 ) -(%) = 4 )
F
=am
max > 0 =
+ttn) d
No
1)
J d
Foga uve e zpused an sh
foam =JU)
@n Te,d), gh a dength
m y=C y+do 4c
d
y
6.4
6.4 engeh of a p dne A
Con&a der pane cve y= T(X) /e an
nt aralTa,a. Cnbñunus on [a, 4] ohen
hal y= f(x) a
smo,th cuve
Gn a, 7 Ohal a Smasdh fun01 n
J = d(x) S moo&h h i anl-eval
Ca,A7 ohen h aeengh Lqe Jhis cve
ores a,] defaned a
L
P2oo
P
Sub sntavalsb ansaing P
Jpon
JPons , g Xn- bd
nd hal
b y
Q= o and = %, eb
e R, , e h
poans
a-. 1 n and yosn
hse pons thssiaiy h
äte egmenls. Jhese Qsrs eey mens fo am a
p gonal
hal we tan y d a» an aepxo xamalsn
pa
s 9ha Ce 9=f(1). ee
Kek e
etyh
SoNe egmen
, Jhen JJ
By M.UT
By (4)-{(%) )hu ¢/8
4 ) -(%) = 4 )
F
=am
max > 0 =
+ttn) d
No
1)
J d
Foga uve e zpused an sh
foam =JU)
@n Te,d), gh a dength
m y=C y+do 4c
d
y
