suppose that f x is a continuous function on the interval 14 and fx is

Question

Suppose that f (x) is a continuous function on the interval -1,4 and F(x) is another function such that F'(x) = f(x). Some of the values of f(x) and F(x) are shown below.
Use the Fundamental Theorem of Calculus to evaluate \int_{-1}^{4} f(x) d x Write out each step and explicitly write down the Fundamental Theorem of Calculus in your answer in order to receive full credit.