Asked by Alphonse
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.)
(x^5+x^3+8x)/x^4
(x^5+x^3+8x)/x^4
Answers
Answered by
Steve
(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
so, the antiderivative is
1/2 x^2 + ln|x| - 4/x^2 + C
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