Let f be a function defined on a closed interval 3 3 with f2

Let f be a function defined on a closed interval [-3, 3] with f(-2) = -1. The graph of f\', consisting of line segments, is shown in the adjoining diagram. Using the Fundamental Theorem of Calculus, set up an equation (involving a definite integral) that can be used to compute value of f(2). Solve the equation in part (10(a)i) for f(2). If F(x) = integral^0_-x^2 e^t^4 dt, then find F\'(1).

Solution