amxii 328-339

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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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