Please help me work these out

1. Interpret the limit lim 00+ 4 [(3 + 42 ) 2 . 2 i= 1 as an integral and then evaluate the limit. Be clear on what f(x) is, what Ar is and the appropriate range of r values are. Use Ii = a+iAx as a guide. If you haven't done so viewing the video I made on the definition of the integral will be informative. 2. Find the area in the first quadrant bounded by the graphs of y = r and y = x8. Include a sketch of the situation and show a typical rectangle. 3. Find the area bounded by the positive y axis and the graphs of y = 2-x and y = 12. As in problem two sketch the graph and show a typical rectangle. 4. Calculate the volume obtained by revolving the region between the r axis and the graph of y = x" for 1