[QUOTE=superdude;340381]If there is an area between 2 curves and it's spun around the x-axis I integrate with respect to x, else if it's spun around the y-axis I integrate with respect to y. What screws me up is finding the area because I subtract the wrong function. For example, and . The is on top but the is to the right.
Which rule takes precedence; right-left or top-bottom?
Are you going from left to right or top to bottom? In other words are you rotating around a vertical line or a horizontal line?
No. . If all you have done is switch f and g, one integral must be the negative of the other. (Unless they are both 0 in which case it doesn't matter!)If I get a negative volume, chances are I have the functions switched around, but the converse isn't always true right? For example I could still have the the functions switched around and still get a positive answer?