Question 961983
First simplify,
{{{x^3(1+1/x^2+1/sqrt(x^2))=x^3(1+1/x^2+1/x)}}}
{{{x^3(1+1/x^2+1/sqrt(x^2))=x^3+x+x^2)}}}
Then integrating,
{{{int((x^3(1+1/x^2+1/sqrt(x^2))),dx)=int((x^3+x^2+x),dx)}}}
{{{int((x^3(1+1/x^2+1/sqrt(x^2))),dx)=x^4/4+x^3/3+x^2/2+C}}}