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# Exam 1 - Math 2153 Calculus II Section 008 Alan Sola Spring...

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Unformatted text preview: Math 2153 Calculus II, Section 008, Alan Sola, Spring 2011 Midterm #1“ .. Name. (last, mm...\l3m;u.ste ......... .i Please read the instructions carefully and answ the steps involved in the calculations in order to get full credits. stions completely. You must show all (30 131.5) Find the indeﬁnite integral / (I: arctan :2: (111:. u 2 mm x dv: X/(x W - 5 Val“ - l _ 2 . _ JV ' V ‘ X/ﬁ - X2 ardcm X x2 04X :- ’3; (35 pts) Evaluate the integral l 2:2—1 d” .0 (:1:+1)\/1 —:/7:2 III” 09.0% 54?: X_[ W X WE l :30 “mo/IX =< ' 0(X :3 "—‘_ h 0 SM X X ><=sin9 _SVE singmsede_ W5 amass—6:219 O t-x" dxmoﬁade ' o JI—sin‘G a {6&8 WE ‘ = 50 5m 0((9 m- \ ﬁzslwe 3V6? CObSdG 5%? (made gmda -'—"‘ x = = 3 ‘ SO JFK“ @pXICOS‘Qde C“ J“5\V35 7° (we; J" X I x y T=5me 35 , ya" ‘ l-x1 N assume/6 ~36 0’69 V Vii ‘45 ‘ "[1059] o "[910 " o "' [sm‘x A? (35 pts) Determine whether the integral 00 1 dz. /2 3:2—1 L is convergent or divergent. Q a r A X —‘ E-soo Q Y2_g Page a Cal—0‘5"“) 306 ' 41x : “m R Lgxgum i2 ] olx .1“ R m A 8 AK ‘ “m X“ XH RN» 3: A(x+l)+ B(X-I>0(x {X‘Oﬂxi-i} dx : Hm R (A+B)x+ A (-3) 0k R~>W 2 _ N. (X 00‘“) 9W 2 (x—sxxu) (ﬁx-Down +{K'f}('x+é) A “B= 12> Br! X ’, A+B=O :)A-I:o =>A=! : [M "R; R -' FAQ!) 53 x4 MK 4—32 max W‘” / I7“ . : \$‘Ym[mlx"'l:-Lle+‘I/:] = gywﬁmmm—mmﬂ H r. E .E. l N .z. A r... z. .3 i r— E. w v I 4 I! H 59> f2 9% 5 4- | Good luck. A ...
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Exam 1 - Math 2153 Calculus II Section 008 Alan Sola Spring...

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