Trinh biy c6ch tfnh gEn dring gi5 tri cia In7.. rnUorvc pAr Hoc sU pHAu rp HO cHi MrNH v.
Trang 1-
-=.T Bai 2
Bai 1
vdi (S) ld phia ngoei crla mit cEu tdm 0 bdn kinh R qr+ 74 * < *
^
Khai tridn thinh chu6i nEuy6n 2 him sd tn(I + x)vit In(I -x).
Trinh biy c6ch tfnh gEn dring gi5 tri cia In7
rnUorvc pAr Hoc sU pHAu rp HO cHi MrNH v e a ' ,, ' .
xn-oh vhil}';"i6p'rV$i; r dd] ''r
IA
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Tinh tich ph6n durdnn 0,u Gy + 2x-y) dx + (xy-x + 2y) dy ",,' Fi*- li
v6i (L) li dudngtrdn rd + f -2ay= O(a>0)theo 2c5ch:
a) Tinh trfc ti6p b) Dirng c6ng thitc Green S0\
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>*-ff
Tinh tich ph6n mit JJ o, 1l ayaz + f axdz + zJ axayl l
fada+?nsaTiii&ngu6 cG pLild trinh vi ph6n:
4xf -(x) +xf '(x)+f(x)=e
.
Bii s
Cho him s6 f(x) = 2x vdi x (41).
HEy bidu di6n f(x) thinh :
a) chuSi Fourier 2 n, sin ntxvdi An ri c6c h6 s6 Fourier
n=l
+@
f
b) Tich phan Fourier J o A(a) cLrsdx da vdi A(a) ld bi6n ddi Fourier
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