Triple Integrals

Triple Integrals

• No different than a double integral, other than the fact that you need to integrate three times instead of two

$$f(x,y,z)=>\iiint f(x,y,z)dVol$$

• Unfortunately, there isn’t a good geometric interpretation. (4D ish…)
• We are integrating in terms of volume (dzdydx)

The trickiest part of these questions is defining the initial volume

A couple of things to note

• To find a point of intersection, set both functions equal to each other
• And make the equation in terms of what you are solving for