EJERCICIOS DERIVADASEJERCICIOS INTEGRALES

EJERCICIOS SUMATORIASEJERCICIOS LIMITES

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

SOLUCION: Ejercicios de Integrales

>> syms x1. >> syms x>> a=x^5;>> ai=int(a,-1,3)ai =364/3

2. >> b=sqrt(x);>> bi=int(b,0,4)bi =16/3

3. >> c=6/(1+x^2);>> ci=int(c,1,sqrt(3))ci =pi/2

4. >> w=int(1/sqrt(1+x+x^2))w =log(x + (x^2 + x + 1)^(1/2) + 1/2)

5. >> d=abs(x+1);>> di=int(d,-2,2)di =56. >> h=sin(x)^3;>> hi=int(h)hi =cos(3*x)/12 - (3*cos(x))/4

7. >> e=(1/(3+5*cos(x)));>> ei=int(e,0,pi/2)ei =log(3)/4>> r=log(3)/4r = 0.2747

8. >> r=int(1/(sqrt(2-3*x-x^2)))r =asin((17^(1/2)*(2*x + 3))/17

9. >> f=x*log(x);>> fi=int(f,1,2)fi =log(4) - 3/4>> r=log(4) - 3/4r = 0.6363

SOLUCION: Ejercicios de Derivadas

>> syms x1. >> a=diff(-5*x)a =-52. >> b=diff(-2*x^2-5)b =(-4)*x3. >> c=diff((x+1)/(x-1))c =1/(x - 1) - (x + 1)/(x - 1)^24. >> d=diff((5*x^2-3)*(x^2+x+4))d =(2*x + 1)*(5*x^2 - 3) + 10*x*(x^2 + x + 4)5. >> e=diff((5/x^5)+(3/x^2))e =- 6/x^3 - 25/x^66. >> f=diff(((x^2)^(1/3))+(sqrt(x)))f =(2*x)/(3*(x^2)^(2/3)) + 1/(2*x^(1/2))7. >> g=diff(((x^2+1)/(x^2-1))^(1/3))g =((2*x)/(x^2 - 1) - (2*x*(x^2 + 1))/(x^2 - 1)^2)/(3*((x^2 + 1)/(x^2 - 1))^(2/3))8. >> h=diff((x^5-x^3-2)^(1/4))h =-(3*x^2 - 5*x^4)/(4*(x^5 - x^3 - 2)^(3/4))9. >> i=diff((10)^(sqrt(x)))i =(10^(x^(1/2))*log(10))/(2*x^(1/2))10. >> j=diff(exp(3-x^2))j =(-2)*x*exp(3 - x^2)SOLUCION: Ejercicios de Sumatorias

>> syms i n r z k h1. >> a=symsum(i*i,i,1,5)a =552. >> b=symsum(2^n,n,0,3)b =153. >> c=symsum(4*r,r,1,100)c =202004. >> d=symsum(6*h-1,h,-3,10)d =2805. >> e=symsum(log10(z^4),z,2,4)e =log(16)/log(10) + log(81)/log(10) + log(256)/log(10)>> r=log(16)/log(10) + log(81)/log(10) + log(256)/log(10)r = 5.52086. >> f=symsum((7*r)^3,r,1,120)f =180787068007. >> h=symsum((20-k+1)^3,k,1,20)h =441008. >> g=symsum((((5^(2*k+3)*2^(2*k+5))/(10^(k+2)))+k),k,1,12)g =444444444444789. >> i=symsum((sqrt(2*n+2)-sqrt(2*n)),n,28,56)i =2^(1/2)*57^(1/2) - 2^(1/2)*28^(1/2)>> r=2^(1/2)*57^(1/2) - 2^(1/2)*28^(1/2) r = 3.1938SOLUCION: Ejercicios de Lmites

>> syms x

1. >> a=limit((x+3)/2,x,1)a =22. >> b=limit(sqrt(x^2-3*x)-sqrt(x^2+x),x,inf,'right')b =-23. >> c=limit(((x^2)/(x-1))-((x^2+1)/(x-2)),x,inf)c =-14. >> d=limit((sqrt(4*x^4+x^2+1)/(x^2+1)),x,inf)d =25. >> e=limit((((x^2+1)^2-3*x^2+3)/(x^3-5)),x,inf)e =Inf6. >> f=limit(((log10(x^3-5))/(x^2)),x,0)f =(Inf + sqrt(-1)*Inf)/log(10)7. >> g=limit(((x^2-9)/(x^2-5*x+6)),x,3)g =68. >> h=limit(((sqrt(x+1)-2)/(x-3)),x,3)h =9. >> i=limit((((1+x)^2-1)/x),x,0)i =210. >> j=limit(((1-2/3*x)^x),x,inf)j =NaN

FACULTAD DE INGENIERIAESCUELA PROFESIONAL DE INGENIERIA CIVIL AMBIENTAL

MATEMTICA ASISTIDA POR COMPUTADORMATLAB

Alumno: Guevara Arteaga, William EleodoroAsignatura: Matemtica Asistida por ComputadorDocente: Mg. Betty Rimarachn LpezCdigo: 121TD31564Ciclo: V

Chiclayo, 29 de Abril del 2014