I am in High school and when I was learning calculus, we were taught that integration is nothing but the reverse of differentiation.
But I really don't get it why does that needs to be the case.
Differentiation relates slope of a function and the rate at which the output is changing for given input whereas with integration we are talking about area under a curve. I don't understand how both of these are related and reverse operations of each other.
Can someone explain me why do these have to be the reverse operations of each other.