### Home > CALC > Chapter 1 > Lesson 1.2.2 > Problem 1-36

Notice that the right-most rectangle shown in the picture is not included in the given domain −3 ≤ *x* ≤ 3.

The area of each rectangle can be determined by *A* = *bh* The base, *b*, of each rectangle is 1.The height, *h*, of each rectangle can be determined by the function: *y* = (0.4)*x*² + 1.

*A* = (1)(4.6) + (1)(2.6) + (1)(1.4) + (1)(1) + (1)(1.4) + (1)(2.6) = __________

This is a hard one to visualize. Remember to consider only domain −3 ≤ *x* ≤ 3. Does it appear that the rectangles contain more area than the area under the parabola or less?

*A* = (0.4(−3)^{2} + 1) + (0.4(−2)^{2} + 1) + (0.4(−1)^{2} + 1) + (0.4(0)^{2} + 1) + (0.4(1)^{2} + 1) + (0.4(2)^{2} + 1) = 13.6

Consider the symmetry of the parabola on the given domain.

Use the eTool below to view the graphs.

Click the link at right for the full version of the eTool:. Calc 1-36 HW eTool