Area by Parts and Rotational Volume
Introduction
Area between two functions:
Integrate each and then subtract the areas. If it is given over a specific region use those endpoints. Otherwise you will most likely need to find the points of intersection.
For example:
1.1 Given 
Find the area enclosed by the functions y1 and y2
1.2 Given 
Find the area enclosed by the functions y1 and y2
1.3 Find the area enclosed by the previous functions, this time with y as a function of x.
and
Area between functions that intersect more than twice:
Integrate the functions over the domain of their first intersection and then integrate the functions over the domain of their second intersection and so forth.
For example:
1.4 Find the area enclosed by the function 
