6.2IndefiniteIntegrals

6.2IndefiniteIntegrals - INDEFINITE IN TEGRBLS um rmE we...

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Unformatted text preview: INDEFINITE IN TEGRBLS um rmE we oascmaso 19 Love em: 151.384.9901: Pnacsoums Fol? canmrlmc arms ( amp 1951 SIGNED £2685 ) F01? fl Fumcrwm Fat) ova? mu INTEkan £4.53. ‘ wE wILL RE 7mm 70 17m PROCEDURE A 817 LflTER. Now 1 mm 10 95mm) you way we cams 08007 30:” 036495 : Y:P¢X) 62x) ‘4 pt! ) THIS IS THE norm/9mm BEHIND m6 FOLLMMJG DEFINITMN : CwE‘M fl. FUNCTION Fax) 010 80:75 Immwm. I a» fiNTIDERNBTIVE PM PM) 0:0 .7: IS mama? Fun:an Fax) sansfiyuvc F’cx) : PLX) Fat? nu. x w I. z 7 5.6., IF Fax) = 3x , mm mm. of ms Fouowws ARE nmmsmusmss Fat? Pun aw c~°°.°°) = 3 3 11" x3: x+5:x‘~;"" X3+ C For BNY comsmm‘ c DIFFERENTIfiWON F ENTIBTM fix) W ch) Fokwmc» Fix) .-: Pm) INTEGRDTIDN .T N TE 6281. N019 77010 I common 0F nu. mnosmvnnwss F01? fix) on .7 j Punt/X ch) + C wHErc‘E Put) :5 my Fumcnam SBTISFYING F'cX) = Rx) on I moo c :s an: HRBITIMR)’ Comsmm' E.G., 3 Sszc/X = X +C THE SYflBOLS Z / DIFFERENTifiL Fm Jx f 17075620100 mTEGML sis» 3 £2me : INDEFINITEWTEMAL 0F Rx) fl FEW EXfinPLES : 3 castx = swx +0 Cfitskacosx) ........~ Jx = fifics'm x + C ( ad; (ARCSINX) = ‘1" ) m W‘ 1 Sam =J—x4+c Lictx‘wfl ‘ 5’ fa = tt‘w cictt‘wz J BHSIC maze or JNTEG‘RBLS I Scostx :SINXJC .2. 351.9xe =-c°sX-}C 2 J. 3. Ssechx = h~x+c q, Scan/x: ~co7‘x4c 5, Ssecxinmxdx: secx+c a. Scscchlix= ~cSCX+C X x X x b 6 cl)! = E +C. c, : —-~' 4C '7. S 8' X lnb ' MI 9. Sin=Sszx+C 10.5chIX=—-x—-~+C n+1 PRownED n t - I u. Sal‘Jx = In Ix! +6 1.2, ———5——dx :flRCSle + C {t-x‘ ' a - ' J .3‘ S th x-npcmmx +(_ ,4. S x xi, x=nncssclxl+c mm H FEW Sums REvaTS om PUTTING mm TGGEWEI? : SINCE (Foo 1 Gun), : FcX) i- 60‘) an») (.02 F630) I: ,c FEX)’ 'I I5, S (M) 13cm)ch 8 Paqu 1 Samoclx m. S g pundx = a S Pox)ch EXHanfS: 5n 5 x , J_ a 1.5xe--§;7—+c-bx+c 4+1 2. 3 «L t‘ t‘ -— 2. 31/1066 = 31% = 1mm -— T+c-§¢z+c 2. 2.. J 3. S¢x4+x)¢1x : 5XJX+ SXJX an H! = 3—- 4 1—— +6 .2“ HI : §Lx3 4 1x2 + c. 51935: omsnmmmray comsmm'r wILL SUFFIC‘E swag THE sun or Two IS JUST fimamt—‘R flRBITIMRy 60105113th 2. _.L ‘I. S " VSECM.)Ju : 5‘,“ Q-y$ecz’“_ )JA : .L .zfl .1. SM-lJu-‘ISSecfuc/u = A —L//HNM;C - J. .. -L-II J. .2u’-- ‘I/n~44+c = 4f;«L/Jn~u+c 5 MCI : --’—"" = 5‘. 3m L Sjmcfif 5Mcswt +C '7. cl 3¢X+3('§')—xz)Jx = Sxe+3S—x’-Jx-chlx .Z'fl .’ HI 2 x - L— 3InIXI—gj; +c =5Lx +3’nlxl-: 4c .. g?- : sech -swx SOLVE THE INITIAL VfiLUE PROBLED w E ) = I I)“. WIS bSKS F01? IS AN fiNTIDEmuBTIUE )1 Fa)? Seczx- smx comm: VfiLuE or I :5 I. q z nu. amnoemwnues FoR sec x 'Sw x 19176 Sseczxclx - 851v»:xe z: 3 (seclx ~Sa~X)ch = hmx — (-cosx)+c = ffimx+cggx+c THUS, F0)? sonE CHOICE op C ’ )Hx) : 1'19NX +60; X 4 C flTX35’ 1* (I)-}nr+ 1+ ¢I+§4c '7*I ' MI-I (OSHC’ 2. f" $0 C=__;z: BM) If yew) : 71m)! +rosx - '3: ...
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6.2IndefiniteIntegrals - INDEFINITE IN TEGRBLS um rmE we...

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