Integral map

Imagine you have a map with lots of different shapes and lines on it - like a treasure map! But instead of telling you where treasure is, this map tells you how to find the total amount of something in each area of the map.

Let's say we're using this map to find the total amount of rainfall in each different region. Some regions will have more rain than others, and we need to figure out how much rain is falling in each region.

To do this, we use something called integrals. Integrals are like special tools we can use to measure the total of something - in this case, total rainfall. We scan each region on the map, and use the integral tool to add up all the raindrops in that region.

The integral tool is kind of like a giant calculator, but it's really good at adding up lots of little parts. So if there are lots of tiny raindrops in one region, the integral tool can add them all up really quickly and give us the total amount of rainfall in that region.

Once we've used the integral tool to measure all the different regions on the map, we can put all the totals together and make a new map - the integral map! This map shows us, in colors or shades, how much rainfall is in each region, based on the rainfall data we collected using the integral tool.

Overall, the integral map is kind of like a special way of looking at a regular map, that helps us figure out how much of something we have in each area - and that's really helpful when we're trying to solve problems, like where to plant certain crops, or how to prepare for a flood.