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

Question

g(t)= 4 + t + t²

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√t

Answer 1

g(t) = 4/√t + t/√t + t²/√t = 4t^-1/2 + t^1/2 + t^3/2

∫g(t)dt = 8√t + (2/3)t^3/2 + (2/5)t^5/2 + C