Shapes in Calculus: What Is Area, Really?

Explanations 3

• It's always important to define our terms. Even when the meaning of a term seems obvious, like "area," giving a definition helps us work with "area" in a consistent way. It can …

  By Matt Superdock, Ahaan Rungta

• What's the simplest area (to compute)? A rectangle! What if we have a more complicated region like the Batman curve? We "can" break it up into small rectangles (perhaps squares,…

  By Victor Wang, Max Schindler, Moor Xu

• Polygonal regions The concept of area is sometimes introduced by talking about the "amount of paint" required to cover a certain figure in the plane. Thus a square of side 222 f…

  By Kevin Dong, Alex Federspiel