final enghin mmmm (1)
TRANSCRIPT
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2 2 2 22 31x x x p=
1 2 3
1 1 1 1
x x x p=
22 2 22 31
1 1 1 1
x x x p=
3 3 3 32 31
1 1 1 1
x x x p=
2 2 2 22 31x x x p=
1 2 3
1 1 1 1
x x x p=
22 2 22 31
1 1 1 1
x x x p=
3 3 3 32 31
1 1 1 1
x x x p=
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2
5 2 5
1 5 f ( x)sin xdx C
cos x sin x cos x=
1
0 1kk
S =
2n kS
2 1n kS
2 1n k
S
2n k
S
2
5 2 5
1 5 f ( x )sin xdx C
cos x sin x cos x=
1
0 1k
kS
=
2n kS
2 1n kS
2 1n k
S
2n k
S
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24
= =1 1 3
yx z
2= =
1 2 4
yx z
2
1 > 2
2
if xxf (x)
a bx if x
=
3 1
= and =4 16
a b
3 1= and =4 16
a b
1 1
= and =4 16
a b
1 1
= and =4 16
a b
24
= =1 1 3
yx z
2= =
1 2 4
yx z
2
1 > 2
2
xxf ( x)
a bx x
=
3 1
= =4 16
a b
3 1= =4 16
a b
1 1
= =4 16
a b
1 1
= =4 16
a b
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245 4
147 4
45 4
137 4
16 9
,5 5
143 1
,3 4
8 77,9 3
4 3
,2 2
245 4
147 4
45 4
137 4
16 9
,5 5
143 1
,3 4
8 77,9 3
4 3
,2 2
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1
0 ,e
1
1,e
1
x
x
ef ( x)
e
=
(a)
1
( a)
{ (1 )} and
f
f
I x g x x dx=
(a)
2
( a)
{ (1 )}
f
f
I g x x dx=
2
1
I
I
1
2
1
0 ,e
1
1,e
1
x
x
ef ( x)
e
=
(a)
1
( a)
{ (1 )}
f
f
I x g x x dx=
(a)
2
( a)
{ (1 )}
f
f
I g x x dx=
2
1
I
I
1
2
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22
a cos cot
22
a sin tan
22
a cos tan
22
a sin cot
3
<
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,a , b c
d
( ) ( ) 1 1 1 6 3 3a b c d i j k
a
b
c
2 2
3
i j k
2 2
3
i j k
2
3
i j k
2 2
3
i j k
,a , b c
d
( ) ( ) 1 1 1 6 3 3a b c d i j k
a
b
c
2 2
3
i j k
2 2
3
i j k
2
3
i j k
2 2
3
i j k
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1 1 1
p q rx x
2 21 (p q )
2
2 21 (p q )
2
2 21 (p q )
2
1 1 1
p q rx x
2 21 (p q )
2
2 21 (p q )
2
2 21 (p q )
2
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2 5
2 3
1 2
13
1 4
48 47 46 2 1
2 3 3 4 4 5 48 49 49 50. . . . .
51 1 1 1K 1
2 2 3 50
1
2
2
5
2 3
1 2
13
1 4
48 47 46 2 1
2 3 3 4 4 5 48 49 49 50. . . . .
51 1 1 1K 1
2 2 3 50
1
2
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(1 )
(1 )
z z
z z
22 cos2
1 cos 2
1 sin2
22 sin2
(1 )
(1 )
z z
z z
22 cos2
1 cos 2
1 sin2
22 sin2
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11 0
1
a bc a
b c
=
3 3
2
9
4
5
4
1
1 0
1
a b
c a
b c
=
3 3
2
94
5
4
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