kill(all)$

van=facebook.com/LearningCalculus$

f(a,b,c,x):=(a*x+b)/(x+c)^3;

F(a,b,c,C,x):=''(integrate(f(a,b,c,x),x))+C;

f(2,7,5,x);

F(2,7,5,C,x);

f(2*cos(t),sin(t)+7,5*cos(2*t),x);

F(2*cos(t),sin(t)+7,5*cos(2*t),sin(2*t),x);

integrate((cos(t)*x+sin(t))/(x+sin(2*t))^3,x)+2*cos(2*t);