ELI5: Explain Like I'm 5

Constant of integration

Imagine you have a bunch of blocks stacked up in a tower. You want to know how tall the tower is, so you start counting how many blocks are in the tower.

But as you count, you realize that there might be some blocks missing from the bottom. Maybe someone took some blocks away earlier, or maybe the tower was built on uneven ground and some blocks sunk down.

So you need to add something to your count to make sure it's accurate. You add a number called the "constant of integration." This number represents the blocks that are missing from the bottom that you couldn't count.

So when you see the "constant of integration" in an equation, think of it like those missing blocks at the bottom of the tower. It's a number we add to make sure our equation is accurate and complete.