eli5 what is integration in maths?

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how is it useful in our lives? any real-world applications?

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Anonymous 0 Comments

Integration is commonly described as “computing the area under a curve”.

It is often used when you are dealing with something that goes on and on continuously (not necessarily a constant!) and you want to know when you can stop because the sum of all those somethings so far has reached a certain value (“enough” for whatever it is you’re doing).

Let’s say you are collecting rainwater. You have a large container and you’re willing to wait, but you want to know how many days you need to get a certain amount of water, say 50 liters. You know that, wherever you are, it rains heavily twice a week in the first three months, then it stops raining for six months, then it rains lightly 3 times a week in the last three months. How long before you collect 50 liters? What about 30? What if you start on October?

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