Anonymous

Because one of the bounds is the y-axis, one of the limits of integration is 0. That description could equally refer to either the left or right half, so the bounds could be 0 to √2 or √2 to 0. Fortunately, both have the same area.

Anonymous

badly written problem...choose [ 0 , √2 ]

Anonymous

As stated, there is not enough information which side of the y-axis is desired. In this particular case, it doesn't matter because y = x^2 - 2 is symmetric about the y-axis. The area left of the y-axis equals the area right of the y-axis.

Anonymous

The second.