kill(all);

fpprintprec:10$

van=facebook.com/LearningCalculus$

f(x):=(x^3-5*x)/(sqrt(x+1)*sqrt(x+3)*sqrt(-x^2+4*x-3))$
g(x):=((5/2+((x)^((-2))*(-9/4))+((x)^(2)*(-1/4))))^(1/2)$

area(x):=(1/2)*x*(f(x)+g(x))$

area(x);

newton(t):=float(subst(t,x,x-(f(x)-3)/diff(f(x),x)))$

X:newton(2.813807768);

f(X);
g(X);
area(X);