find the antiderivative

Question

(3 x^2-2 X^4)/(x^5) in the variable x where x≠0

Answer 1

(3x^2 - 2x^4)/(x^5) = 3x^2/x^5 - 2x^4/x^5 =

3x^-3 - 2x^-1

antiderivative = integral

3x^-2/-2 - 2lnx + constant

= -3/2x^2 - 2lnx + c