please show work on paper

1. (20 points) True or False? If S [f (x) . g (x)] dac = [S f (x) dae] . [S g (ac ) dac] . Justify your answer. 2. (20 points) Find Jot sec2 0 de tan2 0+1 3. (20 points) Show that So sin? adx - So cos2 xdx. 4. (20 points) Find the indefinite integral: S (sing x) (cosa) da 5. (20 points) Using substitution: Describe why f x (5 - x2 ) da * fu du where u = 5 - x2