Chapter 8.2, Problem 45E

To determine

To Find:

To identify the correct integral in which the area of the shaded region is shown.

Answer to Problem 45E

Neither of the integrals calculate the area of the shaded region.

Explanation of Solution

Given information:

The given shaded region is

  

Neither of the integrals give the area of the shaded region in the diagram.

This is because both the integrals integrate to zero.

To find the area in the graph, we need to divide the integral into the sum of two parts on $-1\le x\le 0$ and $0\le x\le 1$ separately.

Therefore, Neither (i) nor (ii) calculates the area shown in the graph.