Integrales
Páginas: 10 (2486 palabras)
Publicado: 23 de julio de 2012
HALLAR EL AREA ENTRE CURVAS
y
3. 0
26) C ALC ULAR EL AREA
2. 0
ENTRE F(X) Y G(X)
G( X) =X( 4 -X^2 ) ^( 1 /2 )
1. 0
A REA
x
−4. 0
−3. 0
−2. 0
−1. 0
1. 0
2. 0
3. 0
4. 0
3. 0
4. 0
5.
A REA
−1. 0
F( X) = X( X^2 -4 )
−2. 0
−3. 0
y
3. 0
y = XLN(X^2-5X+6)
y = x/(X^2+1)
2. 0
27) C ALC ULAR EL AREA
ENTRE F(X) Y G(X).
1. 0X=1 .1 6
AR EA
X=0
−4. 0
−3. 0
−2. 0
x
1. 0
−1. 0
G( X) = X/( X^2 +1 )
−1. 0
F( X) = XL n( X^2 -5 X+6 )
−2. 0
−3. 0
2. 0
5.
y
y = ABS(X/(X+1))
3. 0
y = x(X-2)(X+1/2)
28 ) HALLAR E L AREA
2. 0
ENT RE F( X) Y G( X).
1. 0
G( x) = Abs( X/ ( X+1 ) )
X=2.12
x
−4. 0
−3. 0
−2. 0
−1. 0
1. 0
X=0
2. 0
3. 0
4. 0
5.AREA
−1. 0
F( X) = X ( X-2 ) ( X+1 /2 )
−2. 0
30
y
y = x/(X^3-2X^2+X-1)
3. 0
y = (X+1)(X+3)(X-1/2)
2. 0
G( X) = X/( X^3 -2 X^2 +X-1 )
1. 0
AREA
X= -1. 06
X= -2. 99
x
−4. 0
−3. 0
−2. 0
−1. 0
1. 0
AREA
2. 0
3. 0
X= 0. 40
−1. 0
29) C ALC ULAR AREA
E NT RE F(X) Y G( X),
F( X) = ( X+1 ) (X+3 ) (X-1 /2 )
−2. 0
30
4. 05.
y
y = x/(X^3-2X^2+X-1)
3. 0
y = (X+1)(X+3)(X-1/2)
2. 0
G( X) = X/( X^3 -2 X^2 +X-1 )
1. 0
AREA
X= -1. 06
X= -2. 99
x
−4. 0
−3. 0
−2. 0
−1. 0
1. 0
AREA
2. 0
3. 0
4. 0
5.
X= 0. 40
29) C ALC ULAR AREA
−1. 0
E NT RE F(X) Y G( X),
F( X) = ( X+1 ) (X+3 ) (X-1 /2 )
−2. 0
30
y
y = xsin(LN(X))
y = 2X-1
y =-X(X-1/2)(X-4/5)
F( X) = 2 X -1
G( X) = XS EN( LN ( X) )
X =0.50
X =0. 06
AREA
ARE A
MAXIMA
MINIMA
x
1. 0
2. 0
X =0.94
X =0.34
30) C ALC ULAR EL AREA MINI MA
ENT RE F( X) G(X) Y H(X).
Y EL AREA MAXI MA
−1. 0
y
y = ABS(X^2-4)-X
4. 0
y = (X^2-1)(X-2)
G( X) = Abs( X^2 -1 ) -X
y = -ABS(X-3/2)
3. 0
2. 0
H( X) = ( X^2 -1 ) ( X-2 )
1. 0
X=1 .17
−2. 0
−1. 0
1. 0
X=1 .6 9
−1. 0
x
2. 0
AR EA
3. 0
4. 0
5.
X=2.34
−2. 0
−3. 0
F( X) = -Abs( X-3/2)
−4. 0
31) C ALC ULAR EL ARE A MAXIMA
−5. 0
ENT RE F(X) G(X) Y H(X) .
−6. 0
−7. 0
−8. 0
y
H( X) = ( X+1 ) ^2
4. 00
3. 00
2. 00
G( x) =( X-1 ) ^2
1. 00
X=0
X=-1
X= 1
x
−2. 00
−1. 00
A =1. 001
A =0.99
1. 00
2. 00
3. 00
F( X) =X^2 -1
−1. 00
23) C ALC ULAR EL AREA
−2. 00
3 00
ENT RE F( X),G( X) Y H( X).
4. 00
5. 0
y
5. 00
2 ) C A L C U L A R A R EA E NT R E F ( X ) Y G ( X )
( M IN IM A)
4. 00
3. 00
Y=X^2 /2
2. 00
X=-2
X= 2
AREA
1. 00
AREA
X^2+Y ^2=4Y
x
−2. 00
−1. 00
1. 00
X=0
2. 00
3. 00
1 00
yY=X^2
2. 00
X=2
X =1.25
A REA
X =1. 58
X^2 =2 Y
1. 00
X=1
3 ) C A L C U L A R E L A R EA E NT R E
y ^ 2= x , y ^ 2= 2x , y = x ^ 2 , x ^ 2 = 2y
x
−2. 00
−1. 00
1. 00
2. 00
3. 00
−1. 00
Y^2 =2 X
2 00
Y ^2 =X
4. 00
5. 0
y
4. 00
G ( X) = X+2
X=-1
3. 00
X=1
2. 00
A RE A
X= -0.71
F( X) = X^4 +2 X^2
X = 071
1. 00
x−2. 00
−1. 00
1. 00
2. 00
3. 00
4. 0
H( X) = 2 -X
−1. 00
5) C ALC ULAR EL AREA MINI MA
EN E L I C UADRANT E E NTRE
F(X), G(X) Y H( X).
−2. 00
3 00
y
4. 00
X =2.79
3. 00
X = 1. 30
A RE A
2. 00
1. 00
F ( X) = A BS ( 4 - X ^ 2 )
x
−2. 00
−1. 00
1. 00
−1. 00
4) C ALC ULAR EL AREA
G ( X) = X + 1
E NTRE F(X) Y G(X) .
−2. 00
300
2. 00
3. 00
4. 0
y
g( x) = x^2 e^x
4. 00
3. 00
x=1
2. 00
1. 00
area
f( x) = xe^x
x
−2. 00
−1. 00
1. 00
2. 00
3. 00
4. 0
x=0
−1. 00
6) C ALC ULAR EL ARE A
ENTRE F( X) Y G(X) ,
−2. 00
3 00
y
9. 00
X= 3
8. 00
7. 00
7) C ALC ULAR EL ARE A
ENTRE F(X) Y G(X) .
6. 00
5. 00
4. 00
F( X) = X^2
3. 00
A R...
y
3. 0
26) C ALC ULAR EL AREA
2. 0
ENTRE F(X) Y G(X)
G( X) =X( 4 -X^2 ) ^( 1 /2 )
1. 0
A REA
x
−4. 0
−3. 0
−2. 0
−1. 0
1. 0
2. 0
3. 0
4. 0
3. 0
4. 0
5.
A REA
−1. 0
F( X) = X( X^2 -4 )
−2. 0
−3. 0
y
3. 0
y = XLN(X^2-5X+6)
y = x/(X^2+1)
2. 0
27) C ALC ULAR EL AREA
ENTRE F(X) Y G(X).
1. 0X=1 .1 6
AR EA
X=0
−4. 0
−3. 0
−2. 0
x
1. 0
−1. 0
G( X) = X/( X^2 +1 )
−1. 0
F( X) = XL n( X^2 -5 X+6 )
−2. 0
−3. 0
2. 0
5.
y
y = ABS(X/(X+1))
3. 0
y = x(X-2)(X+1/2)
28 ) HALLAR E L AREA
2. 0
ENT RE F( X) Y G( X).
1. 0
G( x) = Abs( X/ ( X+1 ) )
X=2.12
x
−4. 0
−3. 0
−2. 0
−1. 0
1. 0
X=0
2. 0
3. 0
4. 0
5.AREA
−1. 0
F( X) = X ( X-2 ) ( X+1 /2 )
−2. 0
30
y
y = x/(X^3-2X^2+X-1)
3. 0
y = (X+1)(X+3)(X-1/2)
2. 0
G( X) = X/( X^3 -2 X^2 +X-1 )
1. 0
AREA
X= -1. 06
X= -2. 99
x
−4. 0
−3. 0
−2. 0
−1. 0
1. 0
AREA
2. 0
3. 0
X= 0. 40
−1. 0
29) C ALC ULAR AREA
E NT RE F(X) Y G( X),
F( X) = ( X+1 ) (X+3 ) (X-1 /2 )
−2. 0
30
4. 05.
y
y = x/(X^3-2X^2+X-1)
3. 0
y = (X+1)(X+3)(X-1/2)
2. 0
G( X) = X/( X^3 -2 X^2 +X-1 )
1. 0
AREA
X= -1. 06
X= -2. 99
x
−4. 0
−3. 0
−2. 0
−1. 0
1. 0
AREA
2. 0
3. 0
4. 0
5.
X= 0. 40
29) C ALC ULAR AREA
−1. 0
E NT RE F(X) Y G( X),
F( X) = ( X+1 ) (X+3 ) (X-1 /2 )
−2. 0
30
y
y = xsin(LN(X))
y = 2X-1
y =-X(X-1/2)(X-4/5)
F( X) = 2 X -1
G( X) = XS EN( LN ( X) )
X =0.50
X =0. 06
AREA
ARE A
MAXIMA
MINIMA
x
1. 0
2. 0
X =0.94
X =0.34
30) C ALC ULAR EL AREA MINI MA
ENT RE F( X) G(X) Y H(X).
Y EL AREA MAXI MA
−1. 0
y
y = ABS(X^2-4)-X
4. 0
y = (X^2-1)(X-2)
G( X) = Abs( X^2 -1 ) -X
y = -ABS(X-3/2)
3. 0
2. 0
H( X) = ( X^2 -1 ) ( X-2 )
1. 0
X=1 .17
−2. 0
−1. 0
1. 0
X=1 .6 9
−1. 0
x
2. 0
AR EA
3. 0
4. 0
5.
X=2.34
−2. 0
−3. 0
F( X) = -Abs( X-3/2)
−4. 0
31) C ALC ULAR EL ARE A MAXIMA
−5. 0
ENT RE F(X) G(X) Y H(X) .
−6. 0
−7. 0
−8. 0
y
H( X) = ( X+1 ) ^2
4. 00
3. 00
2. 00
G( x) =( X-1 ) ^2
1. 00
X=0
X=-1
X= 1
x
−2. 00
−1. 00
A =1. 001
A =0.99
1. 00
2. 00
3. 00
F( X) =X^2 -1
−1. 00
23) C ALC ULAR EL AREA
−2. 00
3 00
ENT RE F( X),G( X) Y H( X).
4. 00
5. 0
y
5. 00
2 ) C A L C U L A R A R EA E NT R E F ( X ) Y G ( X )
( M IN IM A)
4. 00
3. 00
Y=X^2 /2
2. 00
X=-2
X= 2
AREA
1. 00
AREA
X^2+Y ^2=4Y
x
−2. 00
−1. 00
1. 00
X=0
2. 00
3. 00
1 00
yY=X^2
2. 00
X=2
X =1.25
A REA
X =1. 58
X^2 =2 Y
1. 00
X=1
3 ) C A L C U L A R E L A R EA E NT R E
y ^ 2= x , y ^ 2= 2x , y = x ^ 2 , x ^ 2 = 2y
x
−2. 00
−1. 00
1. 00
2. 00
3. 00
−1. 00
Y^2 =2 X
2 00
Y ^2 =X
4. 00
5. 0
y
4. 00
G ( X) = X+2
X=-1
3. 00
X=1
2. 00
A RE A
X= -0.71
F( X) = X^4 +2 X^2
X = 071
1. 00
x−2. 00
−1. 00
1. 00
2. 00
3. 00
4. 0
H( X) = 2 -X
−1. 00
5) C ALC ULAR EL AREA MINI MA
EN E L I C UADRANT E E NTRE
F(X), G(X) Y H( X).
−2. 00
3 00
y
4. 00
X =2.79
3. 00
X = 1. 30
A RE A
2. 00
1. 00
F ( X) = A BS ( 4 - X ^ 2 )
x
−2. 00
−1. 00
1. 00
−1. 00
4) C ALC ULAR EL AREA
G ( X) = X + 1
E NTRE F(X) Y G(X) .
−2. 00
300
2. 00
3. 00
4. 0
y
g( x) = x^2 e^x
4. 00
3. 00
x=1
2. 00
1. 00
area
f( x) = xe^x
x
−2. 00
−1. 00
1. 00
2. 00
3. 00
4. 0
x=0
−1. 00
6) C ALC ULAR EL ARE A
ENTRE F( X) Y G(X) ,
−2. 00
3 00
y
9. 00
X= 3
8. 00
7. 00
7) C ALC ULAR EL ARE A
ENTRE F(X) Y G(X) .
6. 00
5. 00
4. 00
F( X) = X^2
3. 00
A R...
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