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chapter5_10p2 - SECTION 5.10 lMF'ROF'ERiNTEGRALS Cl 393 1...

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Unformatted text preview: SECTION 5.10 lMF'ROF'ERiNTEGRALS Cl 393 1 333 +1) +0 Convergent Divergent m dy : flirn If; {Way : f11m [ - .1!“ e‘q‘ dt = lim _ j:‘ 8"” r1! = iiin : ' sianS = Flim [gfl sirii‘hif) : ‘i'lII-J- ii (:05 Hy2T ant. Divergent I” (2-1%} (in = Ii + [a = .ilixig f u") riu + f’ffl — vi} iii.'.but —aa . . I} . , A . . . . . = 11m [EH 7 £1311 J hm t—‘Jt Jv ill”) = —oc-. Since I; Is divergent, I is divergcnt. and there is no nccd lo l-—oc - r--v—-u ' ' ta [2. Divergent .1 (p 7 .2 "I __. 1m "' ri'J'Tjn :J‘r' L d2]; i—x lim 1[7%)[r_‘2-0 = iilll‘(—%)(l —- i742) : -.—L; -1 : ——%.and l.—~—'x_ _; fI-v—zs. -)(¢"271)=—$-(—1):%. Convergcnl Divergent t —5~ by integration by n puns with u = s [by i‘Hosthai's Rule] - a , I fit: : hm ,_‘_,;. “4.73; _ a: .. .w _ l 0 i 1- Ln cos rrm'r. = [1 4— fg = jjwczus rrtiir+ J” cosrrtdt‘but I1 : hm [— sinrrt] = lim (—gsiurrt) and 3—1—ng fr 4 “1-13 limit does not :xiat, Since IL is divergent. I is divergent. and there is no need to evaluate I} Divergent ...
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