For each of the functions, f, below

a. find F(x) = integral of f(t)dt from 0 to x on [0,3]

b. Is F continuous on [0,3]?

c. does F' = f on [0,3]?

here are the functions

1.) f(x) = 2 + x , when [0,1]

= 4 - x^2, when (1,3]

2.) f(x) = x, when [0,1]

= x -1 when (1,2]

= 0, when (2,3]