2 /2 1. Let's begin with a specific example. Consider the integral sin x dx. Graph the integrand f(x) = sin2x on the interval [0, x/2] and identify the region whose area is given by the integral. Draw the rectangle with opposite vertices at (0, 0) and (7/2, 1) and compute its area. Argue that the graph of f(x) = sin x divides this rectangle in half and that the value of the integral is /4.5. Show that the function f(x) = sin x is symmetric about the point (2 / 4,1/2) for points on the interval [0, 7/2]. Then use Step 4 to confirm the conjecture made in Step 1