-
-
S1.
n ใ่ช็ถๆฐx,yใๅฎๅคๆฐใจใใฆ,ไปฅไธใฎ่จญๅใซ็ญใใ.
1) ๅผ (S1.1) ใ็จใใฆ, ๅผ (S1.2) ใฎๅบ็พฉ็ฉๅIใ็ก้็ดๆฐใง่กจใใใจใ่ใใ.
ใใฎ็ก้็ดๆฐใฎ็ฌฌn้
ฮฑm ใๆฑใใ.
-*
(|| < 1)
(S1.1)
n=0
1 =
= L L
1 1
dady=ฮฃa
(S1.2)
10
- xy
n=1
2) ๅผ (S12)ใฎIใ(x,y)= (u-vu+g) ใงๅคๆฐๅคๆใใใใใใง, ๅผ (S1.3) ใฎ
ใใใซL, I2ใซๅ่งฃใใ. ใใ ใ, ๅผ (S1.3) ใฏๅผ (S14), S1.5), (S1.6) ใๆบ
ใใ.ใใฎใจใ,ไธๅผใฎ A1, B1, Ci (u), A2, B2, C2(u), Dใซใใฆใฏใพใๅฎๆฐใพ
ใใฏ้ขๆฐใใใใใ็ญใใ. ใใ ใ, A1 A2 ใจใใ.
I=h+I2
(S1.3)
ใปBi
ยทCโ(u)
=
-
AL
B2
g(u, v)dv du
(S1.4)
0
C2 (1)
=
g(u, v)dv du
tv) du
(S1.5)
(S1.6)
I2
g(u,v) =
0
D
1-2 +02
3)ๅ2) ใฎใฎๅคใๆฑใใ. ๅฟ
่ฆใชใใฐ, ๅผ (S1.7), (S1.8) ใ็จใใฆใใใ
d
=
dx
1
(arctanz)
(S1.7)
1+ฮฑ2
1
(|x| < 1)
(S1.8)
1-2-0-8(1+3)
(1-22) (1
4)ๅ2)ใฎ12ใฎๅคใๆฑใใ. ๅฟ
่ฆใชใใฐ, ๅผ (S1.7), (S1.8), (S1.9) ใ็จใใฆ
ใใ.
1- cos x
tan
sin a
2-2
I
(sinzโ 0)
5) ๅผ (S1.2) ใฎ็ก้็ดๆฐใฎๅใๆฑใใ.
(S1.9)