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.n1=12,n2=6

• y=2xx2+1between x=0 and x=6 forn1 andn2
• Find the exact area under the curve using integrationy=2xx2+1 between x=0 and x=6

Explain the reason for the difference in your answers.