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Quiz2_Solns

# Quiz2_Solns - Name 5 £0 LUth:05 Date...

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Unformatted text preview: Name: 5 £0 LUth :05 Date: MAC2312_Fall2011_Siegel Quiz #2 Score: _! 32 Directions: Show all work for full credit. Write all answers in the blanks provided if possible. "a ‘1) (5 pts.) Find Answer: ? (053’ - EL (SM PC. 7(1—cosx) ,1 J (Hos/Y _ '11 trees} _ i r a—castx __ i _L_ my, F. 7' laces)! (1 raj-9x )dx ? ("057% a” n if 5"”2” 7L éﬂz’r rcﬁﬁzzr 0“ , L! 2 5L casx LL: SM»? 1 1i Gas/X d; -— a— _ :— \ 1x - _ --—— r if 05:: Xdﬂ _?: (smzird (1%:(09, w [gt-X)+ r; “2 2) (5 pts.) Find Answer: X~ ﬁg gins + C 5e” + 25 LY 2X 2X 2X é H? — 2" FJF 7 2‘ six 6—2.1? a div 2 _ 28); 4X :fgm g dk ( +5 8 g 1— eZX+‘5-* i ' f i : lax—fﬂxzx dx : K— ’ﬂrd/LL id“: PC, '1. LL _ , . I i. 62"ng +5 V ‘ Xﬁ 9;, AiﬁZ‘Xf—S—I {‘61 r. -'—' ' ' ﬂu: Zazr‘i __,6"€: =dX '3 X- 414514133 Mf—SD-i-C’ 3?" 262* 26—494 rev-“2:? sec: 3 3) (6 pts.) Use Integration by Parts to find I633 cos(3x)dx. Answer: (Please do not use the tabular method for this problem!) W 2 ‘ . ﬂaw)“ far-(05am: @1)(é~smex)) -f éél‘wfm - WM = ﬂﬂw’l ) "ffmnmw ti“ _ v': isrntsx) ' \L JEN 5 . germ : 2x15i‘m3xJ- qﬂi)"%w5(§") if“? rostaxMX] basil? dV-‘ﬂidiiiﬁﬂ :zxzsr‘wtzn # Lifj’g“ Kioslzx) + ﬁfmﬂ'ﬁﬂdx j 004*“ v.— —§¢5éw :‘ZXzsli/MEK) -f-%X€°3 (3‘)” grfcosdfp’x) dX lr '\ .:zxzsm[ex)+ “Ex (0553;) -— 3% ,-§5m(s«) 4— C : szél‘wlzx)+ ﬂngszx) - %SI‘MKZX)+ 3 4) (4 pts.) Use Wallis's Formula to evaluate Icosg (x)dx. State your answer as a fraction. 0 35‘s” ' l : ‘72 , ‘9”ng J; (osgiidai: ,é‘gi : Answer: 25?: ***DON’T FORGET TO LOOK ON THE BACK!!!*** 5) (6 pts.) Use a technique to evaluate a trigonometric integral to find Ices3 (x) sin2 (x)dx. ﬁoégk QIWZKdX: cosx r 605% 542422” our =fco52r (PS/\$722?) 5/9722fo nswer: Sfécwﬁi‘mzt“ COMSIM¥X)M jwsx'sr‘wzxdx'H 5052(5/‘M4Xd’r 97(szch (sea? —1)sec.‘/,r aiX jﬂ—mzsgm) 5211‘? 01x wfﬁwmxseax) 966/44» our v— ace; “‘fé‘ﬂﬁmdéﬂ ~-—— [Lair doL Zia _\$;KW* W seg—Eﬁx - X H ...
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Quiz2_Solns - Name 5 £0 LUth:05 Date...

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