This preview has intentionally blurred sections. Sign up to view the full version.
This preview has intentionally blurred sections. Sign up to view the full version.
This preview has intentionally blurred sections. Sign up to view the full version.
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.)
W (by
 a
[ 3114'5 ___ ___”: + B 4' JG? 2 .. _, «z I
(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
2.
“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:
1 I
1* 5’ _“‘  4a...“ ——»—" )+—L
/ c x a :3 W
a» =1 ’
1 , l S ’ 00A
2’ J4x2+9dx f aura" Desiré Taylor Math 1242 .

i

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)
IB'; 2.
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 ...
View
Full Document
 Fall '06
 Lucas
 Calculus, Fractions, Power Rule