Fundamental Theorem of Calculus part 11 Math& 152 1 Why does FTC part 2 work? Let Abs) = f; f(t)dt. 1. Thinking of area, draw a sketch of what Ate) represents. 2. Draw three sketches, representing each of the following:A(b), Alia), and AH!) AM). 3. Write A(b) - A(a) as a definite integral. Now it remains to show that A(x) is an antiderivative of f(x), that is, that A'(x) = f(x).Now it remains to show that A(r) is an antiderivative of f(x), that is, that A'(x) = f(x). y=f(x) area=A(X) x xth h 4. Considering the graph above, where is the area represented by A(x + h) - A(x)