integrales(todas)

309 days ago by alvaro.reyes@tecdepabellon

f=((x)^4+3*(x)-9) f.integral(x) 
        
1/5*x^5 + 3/2*x^2 - 9*x
1/5*x^5 + 3/2*x^2 - 9*x
f=((x)^4+3*(x)-9) f.integral(x,0,1) 
        
-73/10
-73/10
f=(5*(x)^3-10*(x)^-6+4) f.integral(x) 
        
1/2
1/2
f=((x)^8+(x)^-8) f.integral(x) 
        
1/9*x^9 - 1/7/x^7
1/9*x^9 - 1/7/x^7
f=(3*(x)^(3/4)+7*(x)-5+1/6*(x)^-1/2) f.integral(x) 
        
7/2*x^2 + 12/7*x^(7/4) - 5*x + 1/12*log(x)
7/2*x^2 + 12/7*x^(7/4) - 5*x + 1/12*log(x)
f=((x)^2+1) f.integral(x,0,2) 
        
14/3
14/3
f=((x)^3/2/-2*(x)^1/2) f.integral(x,0,4) 
        
-128/5
-128/5
f=((2*(x)^(5)-(x)^(3)+3)/(x)^(2)) f.integral(x,1,2) 
        
15/2
15/2
f=((x)+(x)^(1/3))*(4-(x)^(2)) f.integral(x) 
        
-1/4*x^4 - 3/10*x^(10/3) + 2*x^2 + 3*x^(4/3)
-1/4*x^4 - 3/10*x^(10/3) + 2*x^2 + 3*x^(4/3)
EXAMEN f=(14*(x)-2*(x)^(-1/3)+5*(x)^(-2)) f.integral(x) 
        
7*x^2 - 3*x^(2/3) - 5/x
7*x^2 - 3*x^(2/3) - 5/x
UNIDAD 2 f=((4*(x)+1)^(2)) f.integral(x) 
        
16/3*x^3 + 4*x^2 + x
16/3*x^3 + 4*x^2 + x
f=5*(x^(-2/3))+2*(x^(-3/2)) f.integral(x) 
        
15*x^(1/3) - 4/sqrt(x)
15*x^(1/3) - 4/sqrt(x)
f=((3*(x))^(1/2)) f.integral(x) 
        
2/3*sqrt(3)*x^(3/2)
2/3*sqrt(3)*x^(3/2)
f=((5*(x)+1)^(1/2)) f.integral(x) 
        
2/15*(5*x + 1)^(3/2)
2/15*(5*x + 1)^(3/2)
f=((x)/(4*(x)^(2)+3)^(6)) f.integral(x) 
        
-1/40/(4*x^2 + 3)^5
-1/40/(4*x^2 + 3)^5
var('y,a,b') f=((a-b*(y))^(-1/2)) f.integral(y) 
        
-2*sqrt(-b*y + a)/b
-2*sqrt(-b*y + a)/b
var('z') f=(6*z)/(5-(3*z^(1/2))) f.integral(z) 
        
-4/81*(3*sqrt(z) - 5)^3 - 10/9*(3*sqrt(z) - 5)^2 - 100/3*sqrt(z) -
500/27*log(3*sqrt(z) - 5) + 500/9
-4/81*(3*sqrt(z) - 5)^3 - 10/9*(3*sqrt(z) - 5)^2 - 100/3*sqrt(z) - 500/27*log(3*sqrt(z) - 5) + 500/9
EXAMEN 2 var('r') f=(r-10)/(r^(3)) f.integral(r) 
        
-(r - 5)/r^2
-(r - 5)/r^2
EXAMEN 2.1 var('X') f=((X)^(-1)-(X)^(-2)+(X)^(-3))/((X)^(2)) f.integral(x) 
        
(1/X - 1/X^2 + 1/X^3)*x/X^2
(1/X - 1/X^2 + 1/X^3)*x/X^2
var('X') f=(((X)^(2)+2)^(3)) f.integral(x) 
        
(X^2 + 2)^3*x
(X^2 + 2)^3*x
var('X') f=(7-2*(X)^(3))^(4/3) f.integral(x) 
        
(-2*X^3 + 7)^(4/3)*x
(-2*X^3 + 7)^(4/3)*x
TAREA 1 var('x,a') f=(a^(1/2)-(x)^(1/2))^(2) f.integral(x) 
        
a*x - 4/3*sqrt(a)*x^(3/2) + 1/2*x^2
a*x - 4/3*sqrt(a)*x^(3/2) + 1/2*x^2
TAREA 2 var('x') f=((x)^(2)+1)/(((x)^(3)+3*(x))^(1/2)) f.integral(x) 
        
2/3*sqrt(x^3 + 3*x)
2/3*sqrt(x^3 + 3*x)
EXAMEN 3 var('x,a') f=(a^(1/2)-(x)^(1/2))^(2)*(x)^(1/2) f.integral(x) 
        
-2/5*(sqrt(a) - sqrt(x))^5 + (sqrt(a) - sqrt(x))^4*sqrt(a) -
2/3*(sqrt(a) - sqrt(x))^3*a
-2/5*(sqrt(a) - sqrt(x))^5 + (sqrt(a) - sqrt(x))^4*sqrt(a) - 2/3*(sqrt(a) - sqrt(x))^3*a
EXAMEN 3.1 var('t,a') f=(t)^(3)/((a)^(4)+(t)^(4))^(1/2) f.integral(t) 
        
1/2*sqrt(a^4 + t^4)
1/2*sqrt(a^4 + t^4)
var('x') f=((3)*cos(3*x)) f.integral(x) 
        
sin(3*x)
sin(3*x)
var('x') f=(sin(10*x)) f.integral(x) 
        
-1/10*cos(10*x)
-1/10*cos(10*x)
var('x') f=(sec(1-4*x))^(2) f.integral(x) 
        
1/4*tan(4*x - 1)
1/4*tan(4*x - 1)
var('x') f=((cos(x))^(4))*(sin(x)) f.integral(x) 
        
-1/5*cos(x)^5
-1/5*cos(x)^5
var('x') f=(cos(x))^(2) f.integral(x) 
        
1/2*x + 1/4*sin(2*x)
1/2*x + 1/4*sin(2*x)
var('s') f=(3*(s)+4)^(2) f.integral(s) 
        
3*s^3 + 12*s^2 + 16*s
3*s^3 + 12*s^2 + 16*s
var('x') f=((sin(x))^(2))*(cos(x)) f.integral(x) 
        
1/3*sin(x)^3
1/3*sin(x)^3
var('t,a,b') f=(t/(a+b*t^(2))) f.integral(t) 
        
1/2*log(b*t^2 + a)/b
1/2*log(b*t^2 + a)/b
f=(sin(x)/(1-cos(x))) f.integral(x) 
        
log(cos(x) - 1)
log(cos(x) - 1)
f=(e^(5*x)) f.integral(x) 
        
1/5*e^(5*x)
1/5*e^(5*x)