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.

Use a left end point rectangle and remember to show detailed work with clear explanations.

• y=2xx2+1between =0 and =6 for n= 12 and n=6
• Find the exact area under the curve using integrationy=2xx2+1 between =0 and =6

Explain the reason for the difference in your answers.