Page 87 - Math Grade 12 (Advance)

PROEUS DARA

r:: 0 • 0 0 ,
2. ;.;~ei~~fl~~m~;~eG~tmrufl~~
"'
-dt = [lnt]~ = lnx · ln I = lnx
2rl1f.JUM : m'l:flS J' I
I t '

ttJeun : t ctlHS?i'lH~'firuuHH:Jdltitrumm& [a, b] '1 HS?i'tH~ F ti:Hl.H~M~ I

II I GV I I
stlctltitrum~'H [a, b] tthru F(x) = J't(t)dt tUTlmH9?113SRMfifll13Hlb£?1LffHli
(/
0 '
n M ?J '1

r9/du9 : ttl f dlHS?113SdltitsitrutHSl& [a, b] £Sl&HS?113S F Rllil~tru
l.,i •• 1 Gil I
m~g [a, b] tthru F(x) = rf(t)dt dltitsitrum~g [a, b] Sb'l:flS£ttl£~U'li1~ti
ll
UrLflulsm~g [a, b] ttfiru :x[F(x)] = :x[{f(t)dt] = f(x) '1

MLY1l11f1f[pff : F(t) dlL1i@9~ls f(t)

r f(t)dt = F(x)- F(a)
a

)
d
d ( '
dx t f(t)dt = d)F(x)- F(a)] = f(x) '1
0 ' 0
{lJf.JTJfifit : ?1M Sl
II
2. !i_ [J.r sint dt] ?1. !i_ [J.' jT;] dtj- '1
n. :J~ costdt]
dx 0t2 + I dx 0
rufJm:
""
d I .,
n. dx[Jo costdtj = cosx
2. !i[J.' ~int dt] = ~inx
dx Ot +I x~ +I

?1. !i[J' JT:ldr] = Ji + 1 '1
dx
0

2
n. t?i~ F(x) = J>u + 1 )dt '1 ?1M Sl :xF(x) '1

2. !:?1~ F(x) = ~tcostdt '1 ?illilSl :xFG) '1

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