Definite Integrals - DEFINITE:NTEGRHLS BECBLL RIETMNIV...

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Unformatted text preview: DEFINITE :NTEGRHLS BECBLL : RIETMNIV SUfl PROCEDURE LET Fm as common): on [tub]. I. SUBDIVIDE [tub] mm 0 SDBINTERVBLS win: EmoPomTS azx 4X. 4 ...‘x."x,4...‘ x ,‘ xnab a: x. x, . xM 1‘, um Xn=5 Fewest» i: I,..,n L51 AX; : X. “X“. BNO LET ' axnm z macaw ax; * 4. msma sac» ix“ ,x; 3 351.50 a Pom-r x; * a: x: -- x; -. x" WWW KO XI K.-. X; x".. x," Evmvnm a. . F‘xr)’ "’ ’ F“:*), coo ’ ptxn ) HM) conPurE t chfmx, , , ngnx; ’ , p“:’m‘n 3_ ram; ms msnmwv sun n « Pufmx, + + Pui‘an :- Z: Put; mx: :2! 4. REPEBT " 1-3 oven mo oven wrm smut-:12 muo sonnet? AX fiNo THKE THE ler max n I”? Z “‘50": ax aw 3:: 001 1; P0" >, a on [4.5], ms mm 9919 95 7740061” 2f 05 me 1905/! (was)? we amp» OF P am news Lad). OTHERwISE' :r 9/113 _3_E macaw gf as THE NET slams.) MPEA names» rue map» or P am [4.53 , noboEvER , Tms LmIT CD» 31.50 I36 THOUGHT OF IN nmvy amER ways 09 WELL . 5.6. , we mm. 556 Larsn 17107 IF THE IMTERVBL [4,1, 3 ts ficrunuy A new. wnae «moss DENSITY 01 n~y x w [4.5) IS Rx), T111?!» 0 “'7 Z: anfmx; 15 ms mass 0F THE Munro 3:.) —_ WIRE , THE POINT 15 m1 THIS umr , 8669055 IT nE/iMS nflwy DIFFERENT THINGS m DIFFEPEnr CoNTExTr, DESERVES n A2005 5M) 19 SYI'IBOL . n I) n E Pug-“AX; wlmu n/E umr EXKTS , IS cauED nx‘m-y o 3'“ J TUE DEFINITE WTEG‘RBL 9f put) OVER Laid fiND :5 08100750 b S Pundit G. a :3 cans» m5 LawER , mm I: THE UPPER umr gfwreckanom, 5 BE CAREFUL NM TD cawFusE S Pooch: a. nun FmJX. Way NE RELATED m n 3 way we win. oescmss NEXT nne , Bur mas Emmmy DIFFERENT moss or nmmg THE FIR$T IS 9 NUDBER. THE STEM!) 15 fl couscnow gf FUNCTIONS, b we WILL NEED nervous For EanvnnN6 m5 M21785“ 5 {#an A. arm‘stz 1mm Conwnma 7715 ler THflr DEanss WEN. THESE nemoos CENERBLL)’ INVOLVE fiNTIDIFFEREN‘DDTWN, BUT SonE DEFINITE INTEGRALS emu BE EvfiLthED BY THINKING 0F mm 35 190639, 5.6., y: Pm = x + 1 .L - J- 1.. 1 SD '1xe . .113”: 3) S "”qu ._. t(3)(3)+13)¢.|) - 1 -. —" _ ‘I 2 3:43 : a y: FLX): I‘X" a I E S'WJX = 1“”"1’: ‘f O A Few DEFINITIONS BM) PRoPERnES : q DEFINITWN 1. : 8 fian = 0 a. a, b DEFINITIONX : S Fouc‘x z - 3 FIXIJX In a o 5.6., S VI-y' dz: = - 3",! I b b b Mammy 1, : S Nansen”): = S punJ,” S A. A. a and): L unrest: suns mso ) b b b PROPERTYR = S (Pun-gunk = S and): - S gavel): a. a. a. ( LHRGER DIFFERENCES mso ) Fat? any comsmmr c , Sb chxJJx = c. 85 Punch: a Mommy 3 z 7 5,6,, 8‘741‘gth =. 7 8 {1-Y1Jx:7(§)= 1;”: o O . b '- h PROPERTY ‘1 3 3 Pa”): = 8 Faqu + 3 Fuulx A. ' C A. Fan BN7 cuoIcE OF C. . NOTE : mwsnryv 1: mm EVEN u= c as NOT up [4,1,1 E. a, y: Pu) U L————.i W: C. a» b b «- b t. V” U- 0. .g I + 8" 5/5 I‘ w 4. w NOTICE WT’ For? A DEFINITE INTEGIML , THE NBDE 0F TIIE VBRIBBLE l5 IPRELEVHNT : Y 7J4.” Y= he) REFEPPED 1b 05 I9 Danny VBRMBLE. 0F CouRSE ’ 77h; IS gamut-z Fox an INDEFINITE INTEGIML’ E. C.’ 4 ngdx = fix +c l.‘ BUT Xt3€k = #1 +C on, svsw BETTER yer, SLJX =X+C BUT 31% = t+C ...
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