MTH 162 Lecture Notes - Lecture 5: Junkers J.I, Htc
30 Jun 2018
School
Department
Course
Professor
6.3 Partial Fractions
ICXt dx
xt tx tAfxx.it tBf
Method 1
At Bio IACx DtBl xyz
Ax AtBxt2B
2BAttix ATB t2B A
3B I
Bf13
Method
IAlx Dt Bxyz for x2
for xIlAC 3
1BC3Be 43 AYg
SxItBp di
AIn121 tBIn 111 tc
4341 21 1341
11195
257 ftp.itfi dx
ftiitxiiitTDfcHfTdxtfaFqdxtffIzdxtfxD
dxAf
dxtBfxtF
dxtCfIfzdxtDfx
tz
dxAzlnlx2tl1tBarctanlx
tCzlnlx2t2ltDparctan
constant
AxtB Xt 2tCxtDX2t1 X3tx2t 21
Ax3t2AxtBx2t2B tC3t Cx t12 217 1312 21
At ClLookout At C1
LIFE coeff 21,1 HEI
2Bt Dl13 0
2BtD ID
Bt Dil
Bo
66Improper
integrals
Lyde In2Int txd wE
2
dx algompannpe improper 0
intergraf integral
tiff's tax this Inxlit ftp.flnt.int
o
yµgew
Document Summary
257 ftp. itfi dx ftiitxiiittdfchftdxtfafqdxtffizdxtfxd dxazlnlx2tl1tbarctanlx dxtcfifzdxtdfx tczlnlx2t2ltdparctan dxaf dxtbfxtf tz. Ax3t2axtbx2t2b t c 3t cx t 12 2 17 1312 2 1. Int txd we dx algompannpe intergraf improper integral. 0 tiff"s tax y o this inxlit ftp. flnt. int. Fiimots tax aim i di divergent dx b convergent fin. 1 flying tuff ten 2 lnk convergent x e dx u u f vdu. Ii x dyne dx fine ft x e dx fry e e. Fil t t e e i e te i ten e t o heightyoef i am tett t et of dx y d. A comparison theorem f s dxs s mergent. Test2 t 6 i 6 2,6 3 6. 6. 4,1g ifix improper ble fix is disingenuous l. I e dx dx f du ext du exdx. If gcx dx is convergent then fcxdx isalsoconvergent. Ol 1 isalso convergent by comparisontheorem e when x i. E e s 1 when oc c limeot ftp. fxtdoflnt.
