1) Evaluate. 2 points =4x6 - 2x3 + 6 dx 2x6 2) Evaluate. 2 points [(3x2 - 2)(x + 3 )dx 3) Solve the initial value problem f '(x) = x2 - 2x with f (1) = 1/3 5 points 4) Suppose the function f(x) is continuous and always positive. If G is an antiderivative of f, then we know 2 points that G (check and justify your answer): a) is always positive b) is always increasing c) is sometimes positive and sometimes negative d) there is not enough information to conclude any of the above