Questions: 1. Sketch a graph of the function over the interval and shade the region whose net area you will nd. Make sure the window size is appropriate to the function and the interval. You may print the graph from a website.-""software if you like, but tell me what you used. Use some colors! Do you expect the net area to be positive, negative, or zero? Why? Estimate the area of that region using (a) 4 right endpoints, (b) 4 left endpoints, and (c) 4 midpoints. Make sure your nal answer is exact to 3 decimal places. Set up the denite integral notation to denote the exact net area of the region. Do not do any evaluation here. Calculate the integral (net area) using a limit of Riemann sums. Leave the answer in exact formno decimals! (This problem is worth the most, but it's the only time you'll have to compute area using a limit of Riemann sums as in Section 5.2 so be sure to take this problem seriously!) Use the Fundamental Theorem of Calculus to nd the net area (integral), making sure it agrees with your answer above. Leave the answer in exact formno decimals! Which of the estimates from 3(a)-3(c) was the most accurate? was it an overestimate or an underestimate? How large is the error? If the upper endpoint (x=b) is moved slightly to the right (to some x=c), do you expect the new integral over [a_,c] to be more or less than the integral over [a_,b] ? Why? f(x) = 4(x+3)(x-2) [1, 3]