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[-] gandalf_der_13te@feddit.org 1 points 1 day ago

well, almost. it's a bit different than that.

what you mean is this:

you approximate an integral with a lot of small thin rectangles, but if the curve's not entirely rectangular, there's gonna be some error, which becomes smaller as the rectangles become smaller. this can be ignored if the rectangles are thin enough. and it's not what i meant.

what i meant is something like this:

you take a piece of elastic fabric, and paint some squares on it. now, if you stretch the fabric, the squares change shape, they become approximately parallelepipeds. this is a good approximation. now, if we want to calculate the total area of that fabric (after stretching), we can calculate the area of each of the small parallelepipeds (which is easy to do with the formula in above comment) and then sum them.

[-] tetris11@feddit.uk 1 points 1 day ago

Ohh! Calculating area, not volume under the curve -- I see, thank you

this post was submitted on 08 Sep 2026
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