An elliptic integral is a type of math problem that involves finding the distance traveled by a certain curve or shape. The curve or shape is called an ellipse, which looks like a squished circle. Imagine drawing a circle, and then pushing down on it so that it becomes more like an oval. That new shape is an ellipse.
Now, if we want to find the distance traveled along the perimeter of the ellipse, we can use something called an elliptic integral. It's like a special type of math equation that helps us find that distance.
However, this math problem is pretty tricky and can't be solved with normal math equations. It requires more complex equations, which is why it's called an elliptic integral. Even some very smart adults might have trouble solving it!
Think of it like trying to figure out how many steps it would take to walk all the way around an oddly shaped playground. It wouldn't be as simple as just counting the steps, you would need to use some special measurements and calculations to find the exact distance you traveled.
So, to sum it up - an elliptic integral is a type of math problem that helps us find the distance traveled along the perimeter of an ellipse, and it's a pretty tricky problem that requires special math equations to solve.