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16 votes
16 votes
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

g(t) =
4 + t + t2

t

G(t) =

User Iamsar
by
2.9k points

1 Answer

25 votes
25 votes

Explanation:


G(t) =\displaystyle \int (4 + t + t^2)dt


\:\:\:\:\:\:\:=4t + (1)/(2)t^2 + (1)/(3)t^3 + C

Check:


(d)/(dt)(4t + (1)/(2)t^2 + (1)/(3)t^3+C)= 4 + t + t^2 =g(t)

User Thalatta
by
3.3k points
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