Finding the Area Between 2 Curves

I have two problems I need help on:

1. Find the area of the region lying to the right of x=(y^2)-5 and the left of x=3-(y^2).

I determined that the limits of integration would be [-5, 3] and then I tried to integrate ((y^2)-5)-(3-(y^2)), but I keep getting a REALLY large unrealistic number,

2. Calculate the area enclosed by x=9-y^2 and x=5 in two ways: as an integral along the y-axis and as an integral along the x-axis.

I'm not sure how to start this one.

Any help will be so greatly appreciated.