FOCUS PROBLEMS 1) Let F(x) = S cost 7 2 + 3 dt . a) Find F(0). Show work to justify your answer. b ) Find F'(0) . Show work to justify your answer. C) Find F"(0). Show work to justify your answer. 2) Evaluate each indefinite integral. Remember that indefinite integral notation indicates that you should find the general antiderivative, or the family of antiderivative functions. Check each of your answers by differentiating (show your checks). a) J(7* - 2vx + sec? (xx) dx b ) 3x4 - 2x+6 dx x 2 3) Given the table at the right, evaluate each integral exactly. Your answers should not include f, which is a differentiable function. Show substitution work in detail, using correct notation. 0 1 e 3 a ) Sif' ( x )e f ( * ) dx 3 f'(x) dx c ) Jif ( x ) f (x) 5 7 10 11 f' (x) 2 4 9 12 ref' (in(x) dx b) ST x d ) Sof' ( x ) (f (x) ) 2 dx