The Area Function 2. Let f (t) = 2t + 2 for all t. (a) Using geometry, compute fo f (t) dt. (b) Similarly, compute fo f (t) di. (c) Using your answers to parts (a) and (b) as a guide, compute fo f (t) dt for any x 2 0. (d) We now define another area function B (x) = fo f (t) dt. What is B (2)? B (4)? B (0)? Write a general formula for B (x). (e) We will now define a third area function C (x) = _, f (t) dt for any x 2 -1, as pictured below: What is C (2)? C (4)? C (-1)? Write a general formula for C (x)