Find the most general antiderivative of the function

  1. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
    a) f (x) = 8x9 − 2x6 + 15x3 F(x) =
    b) f (x) = (x + 3) (4x − 6) F(x) =
  2. Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)
    f ′′(x) = 6x + sin (x), f (x) = .