MATLAB 
Respuestas de Asignacion entregada 26 sept 2007
Prob 1.

syms g a v;
f=1/(g+ a*v);
int(f,v)
ans =log(g+a*v)/a

Problem 2.
syms g  b m v t;
v=-(m*g/b)*(1-exp(-b*t/m));
int(v,t)
ans =-m*g/b*(t+1/b*m*exp(-b*t/m))

Prob 3.
syms a w t b;
x=a*cos(w*t+b);
diff(x,t)
diff(x,t,2)
ans =-a*sin(w*t+b)*w
 ans = -a*cos(w*t+b)*w^2

prob 4.
syms a g w b t;
x=a*exp(-g*t)*cos(w*t+b);
diff(x,t)
diff(x,t,2)

ans =-a*g*exp(-g*t)*cos(w*t+b)-a*exp(-g*t)*sin(w*t+b)*w
 ans = a*g^2*exp(-g*t)*cos(w*t+b)+
2*a*g*exp(-g*t)*sin(w*t+b)*w-a*exp(-g*t)*cos(w*t+b)*w^2