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Unformatted text preview: A. Partial Fractions Examples: 3.. 11*
“I“ w 7
71%“‘”“ nETIﬂm I16] *C W Desiré Tayfor Math 1242 ww’“ 3 x—l
dx ’l
2') I(x+1ixz+x+li 2‘ .______ »; FZJnIxHJ +S~leow [, 4.2mm“! 4—,bn I»! *L : azﬁxvx lxw) 4—.914 lxl+x+ll +a 330 'P , "gurgﬁ‘d ) dx (See Power Rule: Stewart page 323.)
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(go2) 2( x+ a) X#2 [x 2) X+ l;g:§¥”1(§§5(9.3 + ch—g'fiﬂivf’i 55¢] , Xg—l W A's B
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“mus ; A (o) 1' ace) H 0+2) B. Other Techniques: Formulae 1 u
du=—tan'l _ +C
3'? J‘uz+az a (a) *
Examples:
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1* 5’ _“‘  4a...“ ——»—" )+—L
/ c x a :3 W
a» =1 ’
1 , l S ’ 00A
2’ J4x2+9dx f aura" Desiré Taylor Math 1242 .

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i 3 6. Long Division Perform long division when degree of numerator 2 degree of denominator. ‘ Examples: Y ,4
1.) I; 461x x441 Fiﬁm: k5} , .43. ”ﬂex!
,Sx,q+x+q00)< ‘4'“ v A“ +
x% Ml L” 7613c» ... 303/4: Mowers)
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9 x: 3 M15
35334: A(’b+’3—l)'+ 5(0) 77:77! 5 Desiré Taylor Math 1242 XI D. Completing the Square If a quadratic expression x2 + bx + c has the qualit C =
Y Examples: 1.) Complete the square: )62 +6x+13=
(anti—)1: (if) : (3)190! G+QX+Q> +l5 Desiré Taylor Math 1242 b 2 x2+bx+c=[x+—— 2
J then it will factor into a perfect square: Webwork 8. (1 pt)
Extra Problem 1 Evaluate the integral ] Desiré Taylor 9x—5
x2+9 (1).: S 01 _, ML
36%“ x94
“x144 “(ext 05?
MFQKOD?‘
0%de
{Lowcxobc
l .4 * LL
0] ,_ «*5!» (3))
z .5, AW 6(3 Math 1242 ...
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 Spring '06
 Lucas
 Calculus, Fractions, Power Rule

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