¡ 5 ¡ 4 ¡ 3 ¡ 2 ¡ 1 ¡ 51234 ¡ 4 ¡ 3 ¡ 2 ¡ 1 1234 = f ( x ) dx Z

(1)

Z 4

0 f(x) dx

,.-0/21!301304657980:<;9=>16?A@CB DE;9/2=>18F/301GIHKJMLONP16/2QR;RGMGS1

1 2 =

TVUXWRT>T>T>T>T9T>T>T>T9T>T9T>T9T>T9T>T

1 2 3 4

− 1

− 2

− 3

− 4

− 5

1 2 3 4

−1

− 2

−3

− 4

−5

(2)

0

,.-0/21!301304657980:<;9=>16?A@<Y DE;9/2=>18F/301GIHKJMLONP16/2QR;RGMGS1

1 3 =

^TVUY9Y>Y>Y>Y>Y9Y>Y>Y>Y9Y>Y9Y>Y9Y>Y9Y>Y

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(3)

0

,.-0/21!301304657980:<;9=>16?A@0Z DE;9/2=>18F/301GIHKJMLONP16/2QR;RGMGS1

1 4 =

^TVU^B W9T>T>T>T9T>T>T>T9T>T9T>T9T>T9T>T

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(4)

0

,.-0/21!301304657980:<;9=>16?A@

W

DE;9/2=>18F/301GIHKJMLONP16/2QR;RGMGS1

1 5 =

^TVU^B T>T>T>T>T9T>T>T>T9T>T9T>T9T>T9T>T

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(5)

0

,.-0/21!301304657980:<;9=>16?A@<[ DE;9/2=>18F/301GIHKJMLONP16/2QR;RGMGS1

1 6 =

^TVUS\ [>[>[>[>[9[>[>[>[9[>[9[>[9[>[9[>[

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(6)

0

,.-0/21!301304657980:<;9=>16?A@C] DE;9/2=>18F/301GIHKJMLONP16/2QR;RGMGS1

1 7 =

^TVUS\ ^{Z^B9_} ^W ^] ^\ ^{Z^B9_} ^W ^] ^\ ^ZOB9_ ^W ^]

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(7)

0

,.-0/21!301304657980:<;9=>16?A@<_ DE;9/2=>18F/301GIHKJMLONP16/2QR;RGMGS1

1 8 =

^TVUS\ ^B W9T>T>T9T>T>T>T9T>T9T>T9T>T9T>T

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(8)

0

,.-0/21!301304657980:<;9=>16?A@<` DE;9/2=>18F/301GIHKJMLONP16/2QR;RGMGS1

1 9 =

TVUS\9\>\>\>\>\9\>\>\>\9\>\9\>\9\>\9\>\

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(9)

0

,.-0/21!301304657980:<;9=>16?A@

\T

DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 10 =

TFUS\fT>T>T>T9T>T>T>T9T>T9T>T>T9T>T9T>T

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(10)

0

,.-0/21!301304657980:<;9=>16?A@

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1 11 =

^TFUgT ^` ^T ^` ^T ^` ^T ^` ^T ^` ^T ^` ^T ^` ^T ^` ^T ^`

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(11)

0

,.-0/21!301304657980:<;9=>16?A@

\ B DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 12 =

^TFUgT _>Y>Y>Y9Y>Y>Y>Y9Y>Y9Y>Y>Y9Y>Y9Y>Y

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(12)

0

,.-0/21!301304657980:<;9=>16?A@

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1 13 =

^TFUgT ]9[>`OBRY

T

]9[9`OBRY

T

]R[>`>B9Y

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(13)

0

,.-0/21!301304657980:<;9=>16?A@

\ Z DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 14 =

^TFUgT ^] ^\ ^{Z^BR_} ^W ^] ^\ ^{Z^BR_} ^W ^] ^\ ^ZOB9_

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(14)

0

,.-0/21!301304657980:<;9=>16?A@

\hW

1 15 =

^TFUgT [>[>[>[9[>[>[>[9[>[9[>[>[9[>[9[>[

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(15)

0

,.-0/21!301304657980:<;9=>16?A@

\ [ DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 16 =

^TFUgT ^[OB W9T9T>T>T>T9T>T9T>T>T9T>T9T>T

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(16)

0

,.-0/21!301304657980:<;9=>16?A@

\ ] DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 17 =

^TFUgT>W ^_>_OBRY ^W ^B9`RZ ^\9\ ^{]9[RZ^]} ^TOW

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(17)

0

,.-0/21!301304657980:<;9=>16?A@

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1 18 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(18)

0

,.-0/21!301304657980:<;9=>16?A@

\ ` DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 19 =

^TFUgT>W ^B9[>Y ^\hW ]9_9`9ZO]9Y>[9_9ZOB

\

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(19)

0

,.-0/21!301304657980:<;9=>16?A@CB

T

1 20 =

TFUgT>W9T>T>T9T>T>T>T9T>T9T>T>T9T>T9T>T

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(20)

0

,.-0/21!301304657980:<;9=>16?A@CB

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1 21 =

^TFUgT ^{Z^]9[} ^\ ^` ^T ^{Z^]R[} ^\ ^` ^T ^ZO]9[ ^\ ^`

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(21)

0

,.-0/21!301304657980:<;9=>16?A@CB>B DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 22 =

^TFUgT ^Z ^W ^Z ^W ^Z ^W ^Z ^W ^Z ^W ^Z ^W ^Z ^W ^Z ^W ^Z

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(22)

0

,.-0/21!301304657980:<;9=>16?A@CB9Y DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 23 =

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T

_>[9`

W [ W B \ ]

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(23)

0

,.-0/21!301304657980:<;9=>16?A@CBRZ DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 24 =

^TFUgT ^Z ^\ [>[9[>[>[>[9[>[9[>[>[9[>[9[>[

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(24)

0

,.-0/21!301304657980:<;9=>16?A@CB

W

1 25 =

^TFUgT ^Z T>T>T9T>T>T>T9T>T9T>T>T9T>T9T>T

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(25)

0

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1 26 =

^TFUgT ^Y>_9ZO[ ^\hW ^Y>_RZO[ ^\hW ^Y9_9Z>[ ^\

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(26)

0

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1 27 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(27)

0

,.-0/21!301304657980:<;9=>16?A@CB9_ DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 28 =

^TFUgT ^Y ^W ^] ^\ ^{Z^B9_} ^W ^] ^\ ^{Z^B9_} ^W ^] ^\ ^Z

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(28)

0

,.-0/21!301304657980:<;9=>16?A@CB9` DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 29 =

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T

[>_9`>[

W>W

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

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(29)

0

,.-0/21!301304657980:<;9=>16?A@<Y

T

1 30 =

^TFUgT Y>Y>Y>Y9Y>Y>Y>Y9Y>Y9Y>Y>Y9Y>Y9Y>Y

1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(30)

0

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1 31 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(31)

0

,.-0/21!301304657980:<;9=>16?A@<YOB DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 32 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(32)

0

,.-0/21!301304657980:<;9=>16?A@<Y>Y DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 33 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(33)

0

,.-0/21!301304657980:<;9=>16?A@<Y9Z DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 34 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(34)

0

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W

1 35 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

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(35)

0

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1 36 =

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1 2 3 4

−1

−2

−3

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1 2 3 4

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(36)

0

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1 37 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(37)

0

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1 38 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

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(38)

0

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1 39 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

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(39)

0

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T

1 40 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

−4

− 5

(40)

0

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1 41 =

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1 2 3 4

−1

−2

−3

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1 2 3 4

− 1

−2

− 3

−4

− 5

(41)

0

,.-0/21!301304657980:<;9=>16?A@0Z^B DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 42 =

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1 2 3 4

−1

−2

−3

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1 2 3 4

− 1

−2

− 3

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− 5

(42)

0

,.-0/21!301304657980:<;9=>16?A@0ZOY DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 43 =

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1 2 3 4

−1

−2

−3

−4

−5

1 2 3 4

− 1

−2

− 3

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(43)

0

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1 44 =

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1 2 3 4

−1

−2

−3

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1 2 3 4

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−2

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(44)

0

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1 45 =

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1 2 3 4

− 1

−2

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(45)

0

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1 46 =

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1 2 3 4

−1

−2

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1 2 3 4

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(46)

0

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1 47 =

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1 2 3 4

−1

−2

−3

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1 2 3 4

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(47)

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1 48 =

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1 2 3 4

−1

−2

−3

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1 2 3 4

− 1

−2

− 3

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− 5

(48)

0

,.-0/21!301304657980:<;9=>16?A@0ZO` DE;9/a=>1680/b301!GcHKJML^Na1/dQR;9GMGe1

1 49 =

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1 2 3 4

−1

−2

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1 2 3 4

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(49)

0

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1 50 =

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