Билеты матем_ПЕ_1 сем 2011
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x!+0
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}@o)?3:4/2L9 61E/W ( 68D 68+R x619x 9 y~3h2 9:4/61m1( ),+
e e dx:
@s y ; 2 .8+ 2:4/-w9 61.1E/d/.F4/>/619 9 y~3h2 9:4/61m1(*),+¢2A+R dx
1+x
1
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}@o)?3:4/2L9 61E/W ( 68D 68+R dx619 9 y~3h2 9:4/61m1( ),+
x (1+ln x
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N/@se 9:4/61m1( 2 ( E/>{)?9 2 6 W ( E/.F4/613: \2A7HD ( E/d/613=@
1 x
i@o)?3:4/2LW ( 68D lim68+zB GA9 0 Y 2 2
x!1 ln x
p p
p@se .1.8+ 68D E/>{)Q4/-j9*) PsE/9 E?4/E/9y = x9 E/2 4.x:F4/-w25 10A.84/( 6
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1+x dx
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p@o)?3:4/2LW*)?(*),+ + 68+ E/m1(*)?PsPv9*)?2 d/EQ+ -? X613hWA+ E? W 61( 2 Ps6F4/(*)= 8@
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(sin x tg x dx:
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0
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N/@ZE/( PuGK+x) 613A+ E/(*) .CE/.F4Q)Q4/E/; 9 y P ;A+ 619 E/P >
x+ln(1 x
i@o)?3:4/2LW ( 68D lim68+zB GA9 0 Y 2 2
x! x ln(1+x
p@o)?3:4/2L.F4/E/( E/9 y W ({I PsE?GAm1EQ+ -/9S =E/m1E8 4/( 6FGAm1EQ+ |
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Ps619 -? X2 3hW 61( 2 Ps6F4/(=@ |
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68+ 619 9 y~3h2 9:4/61m1( ),+ |
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x dx: |
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@ # E/0A)QJ )Q4/-j. |
1W (*)?>/68D1 |
++ 2 >/E/ |
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R t +1 = |
R |
t +1 = |
4.: F4/-w(*)?>/619 .F4/>{) |
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dt |
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n n2
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x ln x
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p@o)?3:4/2L0 (*)Q4/;*)?3: X616 (*)?.1.F4/Ey =Ix 92LW2 6 ({IPs6Fy =PsE/3x D*GH4/E/1@ |
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sin x |
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p@se .1.8+ 68D E/>{)Q4/-j9*) PsE/9 E?4/E/9y = x 92 :E/.F4/-w25 10A.84/( 6 |
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x
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1+t2
1
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@s y ; 2 .8+ 2:4/-wE/W ( R68D dx68+ 619 9 y~3h2 9:4/61m1(*),+
1+cos x
0
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