text: calculus question involving u substitution? find the following indefinite integral using u substitution.... integral (z cos(cube root(z^2+3)))/((cube root(z^2+3))^2) dz.  can someone explain how to work this problem using u substitution. thanks..... i did not know how to type the cube root so i hope that my problem is clear. ()^(1/3)??  thanks substitute (z^2+3)^1/3=u (2z/3)(z^2+3)^(-2/3)dz=du zdz(2/3)(u)^(-2)=du zdz=(3/2)u^2du theintegralcosu(3/2)u^2du*/u^2 =int (3/2)cosudu =(3/2)sinu+c =(3/2)sin(z^2+3)^1/3+c