Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use ln |u| where appropriate.)

Question

(x^5+x^3+8x)/x^4

Answer 1

(x^5+x^3+8x)/x^4 = x + 1/x + 8/x^3
so, the antiderivative is

1/2 x^2 + ln|x| - 4/x^2 + C