2. (10 points) The function F(x) = / f(t) dt records the (signed) area under the graph of y = f(t) (shown below) on the interval [1, x]. y = f(t) N 2 A) (2 points) Compute the values of F(1) and F'(1). Explain how you arrived at these answers. B) (3 points) Evaluate F(3) and F(4). Explain how you arrived at these answers. C) (5 points) Use the first derivative test to find the absolute maximum and absolute minimum values of F(r) over the interval [1, 4]