kill(all)$

van=facebook.com/LearningCalculus;

declare(h,integer);

assume(h > 0);

f(y):=((100*y^2+64)*y^h)/((100*y^2-64)*y^(h+2));

fullratsimp(f(y));

F(y):=''(integrate(f(y),y));

logcontract(fullratsimp(F(y)));