X For each function f(x) given below, define F(x) = f(t) dt. da Is F(x) an antiderivative of f(x)? Plot f(x) and F(x) in the same window for x e [a, b]. How is F(x) related to the area between f(x) and the x-axis on [a, b]? 1 (a) f(x) = =2, a = 1, b = 10 (b) f(x) = sin x, a = 0, b = (c) f(x) =- X4 - 2x