Post on 29-Feb-2016
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ALGEBRA - clasa a XI - a (simbol AL - XI)
340Culegere de probleme
Analiz matematic XII337
AM - XII. 084 Valoarea integralei este :
a) b) c) 0 d) 1 e) f)
AM - XII. 085 Valoarea integralei este:
a) b) c)
d) e) f)
AM - XII. 086 S se calculeze: .
a) I = 1 b) I = c) I = 0 d) I = -1 e) I = f) I =
EMBED Equation.2
AM - XII. 087 S se calculeze integrala definit
a)
b)
c) ln 4
d) 3ln2
e) 2ln3 f) ln 8
AM - XII. 088 S se calculeze : .
a) b) c) 1 d) e) f)
AM - XII. 089 Se consider integrala . Care din urmtoarele afirmaii este adevrat ?
a) b) c) d) e) f)
AM - XII. 090 Determinai valoarea integralei: .
a) b) 0 c) ln 2 d) e) 1 f)
AM XII. 091 S se calculeze :
a)
b)
c)
d)
e) 0
f)
AM XII. 092 S se calculeze
a) ;
b)
c)
d) ; e) f) .
AM XII. 093 Calculai i
a)
b)
c)
d)
e)
f)
AM XII. 094 tiind c m este un numr natural impar, s se calculeze
a) 0
b)
c)
d)
e)
f)
AM - XII. 095 S se calculeze .
a) b) c) d) e) 0 f) tg 1
AM - XII. 096 S se calculeze integrala: .
a)
b)
c) I
d)
e)
f)
AM - XII. 097 Fie f : R (R , f(x) = x arcsin . S se calculeze
.
a)
b)
c)
d)
e) 1
f)
AM - XII. 098 S se calculeze .
a)
b)
c)
d)
e)
f)
AM XII. 099 S se calculeze :
a)
b) 0
c) 1
d)
e)
f)
AM - XII. 100 S se calculeze .
a) b) I = 1 c) d) I = 0 e) f)
AM - XII. 101 Fie funcia , . S se calculeze .
a) b) c) d) e) f)
AM - XII. 102 S se calculeze .
a)
b)
c)
d)
e)
f)
AM - XII. 103 Valoarea integralei este:
a) b) c) d) e) f)
AM - XII. 104 S se calculeze .
a) b) c) d) e) e f) 2e
AM - XII. 105 S se calculeze .
a)
b)
c)
d)
e)
f)
AM XII. 106 Fie i . S se calculeze integrala definit:
a)
b)
c)
d)
e)
f)
AM - XII. 107 Calculai .
a) b) c) 0 d) e) f)
AM - XII. 108 Indicai care din valorile de mai jos reprezint valoarea integralei
.
a)
b)
c)
d)
e)
f)
AM XII. 109 S se calculeze integrala
a) 1;b)
c)
d)
e)
f) .
AM - XII. 110 S se stabileasc n care din intervalele urmtoare se afl valoarea integralei
.
a)
b)
c)
d)
e)
f)
AM - XII. 111 S se calculeze .
a) b) c) 1 d) e) f)
AM - XII. 112 Calculai .
a) b) c) d) e) f)
AM - XII. 113 S se calculeze
a) 1 b) 1 c) d) 2 e) 3 f) -3
AM - XII. 114 Dac i sunt rdcinile ecuaiei , iar
, s se calculeze .
a)
b)
c)
d)
e)
f)
AM - XII. 115 S se calculaze
a) 0 b) c) d) e) -1 f)
AM - XII. 116 Care este valoarea integralei ?
a)
b)
c) d) I = 1
e)
f)
AM - XII. 117 S se calculeze , unde, .
a) 0 b) c) d) e) 1 f) ln3
AM - XII. 118 Care este valoarea integralei:
?
a)
b)
c)
d)
e)
f)
AM - XII. 119 S se calculeze .
a) b) 0 c) d) e) 1 f) -1
AM - XII. 120 Fiind date integralele: , i
s se precizeze care din urmtoarele afirmaii este adevrat .
a)
b)
c)
d)
e)
f)
AM - XII. 121 Dac reprezint partea ntreag a lui R , atunci s se
calculeze
a)
b)
c) d)
e)
f)
AM - XII. 122 S se calculeze .
a) I = 32 b) I = c) I = 16 d) I = 1 e) I = 2 f) I =
AM - XII. 123 Se consider funcia , .
S se calculeze integrala
a)
b)
c)
d)
e)
f)
AM - XII. 124 Care este limita irului: ?
a) 0 b) c) 1 d) e e) e
f)
AM - XII. 125 S se calculeze: , unde reprezint partea
ntreag a numrului real a .
a) b) c) 1 d) 0 e) e 1 f) e + 1
AM - XII. 126 S se calculeze , dac pentru orice N
.
a) 2
b) 3
c) 1
d) 1
e) 5
f) 4
AM - XII. 127 S se calculeze .
a) 0
b) e
c) e - 1
d)
e)
f) 1
AM - XII. 128 S se calculeze .
a) = 1 b) = 0 c) = d) = e) nu exist f) = arctg
AM - XII. 129 Fiind dat funcia continu R, s se calculeze limita irului
dat de: .
a) 1
b)
c) 0
d) e
e)
f) f (1)
AM - XII. 130 Fie Gg graficul funciei , . Familia de drepte y = t, taie graficul Gg n dou puncte A1 i A2 . Fie R , astfel nct este egal cu distana dintre A1 i A2 pentru orice .
S se calculeze integrala .
a) I = 2
b) I =
c) I = d) I = 3
e) I = 1 f) I = 4
AM - XII. 131 Dac R este o funcie de dou ori derivabil i cu deriva-ta a doua continu pe , atunci calculai , n funcie de a i b.
a)
EMBED Equation.2
b)
c)
d)
e)
f)
AM - XII. 132 Fie i continu pe . S se
calculeze n funcie de a i b.
a) b) b a c) a b d) e) f)
AM - XII. 133 S se calculeze.
a) b) c) 0 d) e) f)
AM - XII. 134 Fie f o funcie impar i continu pe intervalul i fie integrala S se precizeze care din urmtoarele egaliti este adevrat.
a) b) c)
d) e) f)
AM - XII. 135 S se calculeze .
a) 10 b) 2 c) d) 1 e) f) 4
AM - XII. 136 Fie o funcie continu i astfel nct:
pentru orice x(R. Care este valoarea lui f (o) ?
a) 1 b) k c) d) 0 e) f)
AM - XII. 137 Fie f : R o funcie continu i F : R , definit prin
. S se calculeze.
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