(1-1/x^3)*(x*x^1/2)^1/2=(1-1/x^3)*x^(3/4)=x^3/4-x^(-9/4)
∫(x^3/4-x^(-9/4))dx=(4/7)*x^(7/4)+(4/5)*x^(-5/4)+C
(1-1/x^3)*(x*x^1/2)^1/2=(1-1/x^3)*x^(3/4)=x^3/4-x^(-9/4)
∫(x^3/4-x^(-9/4))dx=(4/7)*x^(7/4)+(4/5)*x^(-5/4)+C