SOLUTION: Estimate the area under the graph of f(x) = 1 + x^2 from x = −1 to x = 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch th

Algebra ->  Test -> SOLUTION: Estimate the area under the graph of f(x) = 1 + x^2 from x = −1 to x = 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch th      Log On


   

Question 1157393: Estimate the area under the graph of f(x) = 1 + x^2 from x = −1 to x = 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
  

    

The actual area by integral calculus is 6.  It is easy to see that
the rectangles are over-estimating the actual area.

Edwin