Hi, I have two calculus problems that I need help on but do not know how to solve. Any help would be appreciated!

Find the area enclosed by the curves:

(a). y = x^2 - 1, y = -1, x = 1, x = 2

(b). x = y^4, y = sqrt(2-x), y = 0

Here is a picture in case I was not clear enough:

http://i44.tinypic.com/2zq7yia.png

Now I know that this has to deal with the usage of integrals to figure out the area, however, I do not know exactly how to go about it, or feel that I am doing so incorrectly. I have uploaded a pdf of the work I have done thus far, getting the answer 7/3 for the first question. Is this wrong or am I doing the work incorrectly?