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

Question

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) =

in progress 0
Mít Mít 7 months 2021-07-24T11:36:59+00:00 1 Answers 12 views 0

Answers ( )

    0
    2021-07-24T11:38:37+00:00

    Step-by-step explanation:

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

    \:\:\:\:\:\:\:=4t + \frac{1}{2}t^2 + \frac{1}{3}t^3 + C

    Check:

    \dfrac{d}{dt}(4t + \frac{1}{2}t^2 + \frac{1}{3}t^3+C)= 4 + t + t^2 =g(t)

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )