kill(all)$

van=facebook.com/LearningCalculus$

f(x):=x^2*sqrt((x^2 + 2)/2);

F(x):='integrate(f(x),x)=integrate(f(x),x)+C$

Asinh(u):=log(u+sqrt(u^2+1))$

G(x):=''fullratsimp(substitute(Asinh(x/sqrt(2)),asinh(x/sqrt(2)),F(x)))$ G(x);