1

2 s c h o o l t i m e . g r

1980 . 1998

,

,

2002. 2002

,

2010

.. , (. 28

, . 24213 02598)

3

4 s c h o o l t i m e . g r

schooltime.gr, :

, ,

:

2014

schooltime.gr

.

schooltime.gr

&

.: 6977554086

e-mail: info@schooltime.gr

website: www.schooltime.gr

schooltime.gr

-, -

, , , , ,

5

6 s c h o o l t i m e . g r

7

2014

/: :

1. ,a . G

f ,a

af x dx G G a

.

8

2. 1a ax a x a Z 0x

7

3. :

1. f 0x

.

2. f .

x x A f x f x f

.

3. f 1 1 .

4. f , .

0 ,x a , 0 0f x

0f a f

5. z a i ,a . 0 0z a 0

8 s c h o o l t i m e . g r

10

1. : 1xe x x . .

3

2. : 0, 0,f . 0x ,

z, :

1

0 0

x f t f x xtz e dt ix e dt

0 12

xt

zf t e dt f a > 0.

:

) Re Im 01

zz z

i

0x

5

) f x xe f x e 0x

4

) f .

5

) f .

4

9

) f 0, ,

, 0,a , 1a f .

4

ln xf x x x e , 1x .

1. f

.

5

2. f.

3

3.

f 1, 1A f 1f x ex 1x

6

4. ln 2009xf x e f x

1,

5

5. 1

1

1 1

ee e e

ef x dx f x dx

6

10 s c h o o l t i m e . g r

:f

0< < , f a , f a 0f a

:

1. 0 ,x a , 0 0f x x

8

2. 1 2, ,a 1 2 , 1 2 1f f

8

3. 0f x ,a a .

9

11

schooltime.gr

&

.: 6977554086

e-mail: info@schooltime.gr

website: www.schooltime.gr

12 s c h o o l t i m e . g r