Question

why is integration refers to "area under the curve" ??.

Answer 1

This might help explain it: http://www.intmath.com/integration/3-area-under-curve.php

Answer 2

blue words never explain nothing lol

Answer 3

integration is an abstract concept, but a concept without an application tends to be rather useless.

Answer 4

Applying integration to the area underneath a curve puts it into a concrete format that makes it easier to teach

Answer 5

Is integrating not calculating the area under the curve, outside the teaching environment? Even when it gets a bit abstract, I've found that it's still essentially doing that. But I might be wrong.

Answer 6

It might make more sense if you go through the Riemann process (to start with, I guess) and see the parallels of the summation symbol with the integration symbol, and the delta x and dx symbols.

Answer 7

a velocity curve represents the changes in speed over time;