Area under a curve
The Goal
Find the exact area under the curve y = 8 - x2 and above the x-axis.
The Mistake
Find the mistake:
Need a hint? Look carefully at the red part:
The Correction
An Explanation
The mistake was to approximate √8 by 2.82. The instructions were to find the exact value of the area, so the problem should be worked out with the exact values. This problem is one for which your calculator should be left turned off.