Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) g(t) = 8 + t + t2 t

Question

g(t) = 8+t+t^2

sqrt. t

Answer 1

g(t) = 8/√t + t/√t + t²/√t = 8t^-1/2 + t^1/2 + t^3/2

So, ∫g(t)dt = 16√t + (2/3)t^3/2 + (2/5)t^5/2 + C