Please make sure each step must logically follow from the previous one and every claim must be justified.

2. Let f (m) = 6m cosm and consider the following two functions F1(m) = 3:132 sin m F203) = 6m sin a: + 6 cos x a) (1 point) Show that F1(x) is not an antiderivative of f (as), but F2(x) is. b) (2 points) Explain why someone might guess F1 is an antiderivative to f? What is wrong with this intuition