Do not plug in the value 2.71 into e

3. (3+4+3=10 points) The function f(x) is defined as follows f (20 ) = 3 if a 1. (1) Verify that f(x) is continuous at x = 1. (2) Find an antiderivative F(x) of function f(x) satisfying F(0) = 1. (3) Compute the area of the region between the graph of f and x-axis from x = 0 to x = e2. (See