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VED1
E\L-LOVELY-H\math16-1 IInd 6-8-11 IVth 21-4-12 Vth 20-8-12 Vth 20-8-12 VIth 10-9-12
vFkZ'kkfL=k;ksa dk xf.kr
uksV
1
8- ljy js[kk , a }kjk foHkkftr o`Ùk 0 , osQ Hkkxksa osQ {ks=kiQyksa dk vuqikr Kkr dhft,A
2
¹laosQr% vHkh"V Hkkxksa osQ {ks=kiQyksa dk vuqikr eku yhft, ,
θº-
, ∫ a a /2 y dx : ∫ − a a /2 y dx
2
2
, ∫ a a /2 a − 2 x dx : ∫ − a a /2 a − 2 x dx
mÙkj
56
2 π oxZ bdkbZ ! oxZ bdkbZ
5
1 2 b 1 b 2
4- 73 oxZ bdkbZ 5- b log 6- e − 1
15 a 2
9
7- m oxZ bdkbZ 8- (4π− 3 3) : (8π+ 3 3)
2
Lo&ewY;kadu
1- fjDr LFkkuksa dh iwfrZ djsa *
+
:
µ
---------
vktdy lekdyu dk iz;ksx vFkZ'kkL=k esa ls c<+k gSA
---------
fuf'pr lekdyu ,d lhek gSA
---------
! miHkksDrk cpr fof/ ls Kkr fd;k tk ldrk gSA
16-2 vFkZ'kkL=k esa lekdyu dk mi;ksx
vktdy lekdyu dk iz;ksx vFkZ'kkL=k esa rsth ls c<+k gSA bls ge fuEufyf[kr rF;ksa ls Li"V dj ldrs
gSaµ
1- lhekUr ykxr] vkSlr ykxr rFkk oqQy ykxr
()
dc
pw¡fd lhekUr ykxr , gksrk gS] vr%
dq
()
oqQy ykxr , ∫ dc . dq
dq
dc
()
;gk¡] , lhekUr ykxr] , oqQy ykxr] , mRiknu esa ifjorZuA
dq