I am working with double and triple integral in multi-variable calculus and have found that it is extremely useful to convert between different coordinate systems including:
Spherical: Cylindrical: Polar: and Cartesian Well, I know the conversion values and how to transition variables over.
- My question is, what should I look out for when determining which one to convert to?Example:
$$\iiint (3y^2+3x^2) dzdydx$$
^^^triple integral bounded by the paraboloid $z=x^2+y^2$ and the plane $z=25$
Finding the bounds is easy, but converting to a useful coordinate system is the challenge.