1. Find the general antiderivative: J x3 + 3x - x241 - dx 2. Find the general antiderivative: S(x - 4)3 dx 3. f'(x) = 3x2-4x, and f (3) =6. Find f (x). 4. f" (xx ) = 4x+ 2, f'(1) =5, and f(0) = 4. Find f (x). For problems #5-9, use the FTC Part 2 to evaluate the definite integral. Give all answers in exact form. 5 . 7 5 . 53 2 x2-3x4 X 3 dx 6. (cos x + sec x tan x) dx 7. S, ( x213 - 2x-1/3) dx ab ze + 8. 13 ( 2x + ) doc 9. ST 2+ 20 2 Vx - dx 10. Sketch the region enclosed by y = 16 - x2 and y = 0 and calculate its area. 1 1. Sketch the region bounded by y = x and y = x and calculate its area. 12. A rabbit population starts with 4 rabbits and increases at the rate of n'(t) rabbits per week. In 12 or fewer simple English words, what does 4 + So n'(t) dt represent, in the context of this problem? (Do not use the words "antiderivative" or "definite integral.")