Calie Eixam 3 Review
1. fus =x+=
fxx) = 1-12
1-1/2 =0
x<l
-1/3/ fuff
lec
X71
+
+
2.
x
6
A= 4/2. 200-3+)
4 200x-3x²
12
= 200x-32
3
A'= 200-6x
3
0-200-6x
6x=200
x = 1000
3
x=1
3
X
x=1
hocel min at x=l
A= 412-7) P= 3x+3y
هاد
200=
3x + 3y
200-7x=4
Locul min at scles
X=10
100-6x
3
+t
inc
200=100+
-
y=14
V: Jx
3. at (sin() dx des
= xly
2d425x
2003/2009)+34
180=34
เอว
3=9
u=sec(k).
b) (sec{(x) tan(x) dx du=secxstad) by
Suzdu
2 since) de
2(-coscius) +c
(-2005 (Jx) +C
3
½ u² + C
sec (x).
,4=/+2x3
3. c) (x²+2")" du=bxt = d₁ = x²h
+(x² 1³) = {201²±²)
=(-)
21 - 12/2
121
6
ya: 1+ 2()² = 3
Low: 1+2(5) = 1
d! {{x+3]JQx² dx = {^«x«¥x³ dx+ { Wazêde
xt this old over
35, Janda - #2342)²
a symetrical lamain is the integral
so it isd
of the splatf
of a circle with
radues 2.
e) { (x-2\alda = {² (x+2+) ba+ ( 2(x-2) dx
X
า
t
-
-(0-1)-(2-0)
=-3-2
7
األما
1. fus =x+=
fxx) = 1-12
1-1/2 =0
x<l
-1/3/ fuff
lec
X71
+
+
2.
x
6
A= 4/2. 200-3+)
4 200x-3x²
12
= 200x-32
3
A'= 200-6x
3
0-200-6x
6x=200
x = 1000
3
x=1
3
X
x=1
hocel min at x=l
A= 412-7) P= 3x+3y
هاد
200=
3x + 3y
200-7x=4
Locul min at scles
X=10
100-6x
3
+t
inc
200=100+
-
y=14
V: Jx
3. at (sin() dx des
= xly
2d425x
2003/2009)+34
180=34
เอว
3=9
u=sec(k).
b) (sec{(x) tan(x) dx du=secxstad) by
Suzdu
2 since) de
2(-coscius) +c
(-2005 (Jx) +C
3
½ u² + C
sec (x).
,4=/+2x3
3. c) (x²+2")" du=bxt = d₁ = x²h
+(x² 1³) = {201²±²)
=(-)
21 - 12/2
121
6
ya: 1+ 2()² = 3
Low: 1+2(5) = 1
d! {{x+3]JQx² dx = {^«x«¥x³ dx+ { Wazêde
xt this old over
35, Janda - #2342)²
a symetrical lamain is the integral
so it isd
of the splatf
of a circle with
radues 2.
e) { (x-2\alda = {² (x+2+) ba+ ( 2(x-2) dx
X
า
t
-
-(0-1)-(2-0)
=-3-2
7
األما
