Find the approximate area under the curve by dividing the intervals into n subintervals and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for each value of x.

y=2xx2+1 between x=0 and x=6 forn1=4,n2=8

Then find the exact area under the curve using integrationy=2xx2+1 between x=0 and x=6