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HW2 17B

HW2 17B - SW(3.7 Math 17B Kouba Worksheet 1 1 Use the limit...

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Unformatted text preview: SW (3.7 Math 17B Kouba Worksheet 1 1.) Use the limit deﬁnition of deﬁnite integral to evaluate each of the following integrals. b —- a Use n equal subdivisions so that Ax, = n for i = 1, 2,3,4, - - -,n . Use right-hand b ._ endpoints for sampling points so that the sampling points are 2:; = a + n a - i for i: 1,2,3,4,-~,n . 2 a) 5 dz: -1 2 b ) (a: + 3) dz 0 o c ) (:L'2 + 2:0) dz: -3 1 d.) 3:3 d1: 0 1 e.) / 2‘t dx 0 1 _ rm+l HINT1:1+r+r2+r3+-o-+rm= 1-7. HINT 2 : At some point you will need L’Hopital’s Rule. U) 3 ‘ Axc— 2} :1 7; ’ﬁ” (“d/2!; ' M40. XL': -(+.3_g, wp—QQ: 5’) W ‘1 n ...W = m f Wafﬂe ~ V1 . ‘4 =. M Z 5 .3, : M 1.35: :21 14—300 6;! vxqw ("q z 1.5;. V\ t: (-y n b) C) )(l K01 X3 XL: ,,_ ,1: K“ —-t—-r——r—-t-—“—e——————+—— R .. 3-0 _, __ Axc - m : 14 4M 9-92/5 MX¢:O+%Q:%é¢ﬂé://2i‘u 1 u S (291' 3) 4% C M 2_ ‘PQL2'AXL 0 Y1 ”1—509 Li/ (A '1 __ M .Z-‘P<%¢) 5%; am éﬁwwjé V\-9qo °:( VH0" L" m ‘4. , IA :‘MZ iL-I—é': ‘[iz(.+_§_<z “#00 (:2! (W01 V\ n—xoo W1 :1 1A zl( - i H0444? 6 3 mob“ A + T; M] :; M ._L - ' .. W500 [3 ”1499444 — 02(94—9 ~ -3 X‘ ‘W AX'L : _ 317 a!“ 24/“ “ mam (~gll/V‘ (fl/‘4 2 M 1 92° n—aao V1 02‘?“ ”5&0 : M ”7': —-1 u uij Ola—l H ...
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