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.
for the second problem I used the [-2, 2] as my limits of integration and then I integrated this:
since (9-y^2) is the "upper" function (since its more on the right). However I keep getting, 92/3, but the back of my book says 32/3. What am I doing wrong?