Help with ever bits of explanation because I haven't been in classes for a while and idk what I'm doing

CALCULUS FOR LIFE SCIENCES PROBLEMS: ANSWERS ARE ON THE OTHER SIDE. 1. Find the following. Don't forget the constant a. (3 pts) The antiderivative of 3x + 2x - 2: b. (3 pts) The antiderivative of 4 cos(x) - - te: Note: "e" is a constant. c. (3 pts) The antiderivative of x + 0x + 2n : Note: It is a constant. 2 . Given f(x) = 27 - x in the interval [0, 3], if Ax =1, do these: a. b. (3 pts) Find the lower sum of rectangle areas by calculating If. (1) + 1f(2) + 1f(3) (3 pts) Find the upper sum of rectangle areas by calculating If (0) + If (1) + If (2). C . (3 pts) 2 parts: Average your 2 numbers in parts a and b. What does the result give a rough estimate of? d. (5 pts) Find [ (27-x3) dx and simplify all the way. e . (3 pts) Tell in your own words what happened in parts a, b, c, and d. 3. 3 pts) If f(x) is continuous and positive with a