So fuguer has the most elegant solution

Easily

Right that definite integral winds up being exactly what you need to make it a dereivative

^mcgee

oh yea that's true. integral from 1 to 1+h could be written as (F(1+h)-F(1))/h = dF/dx(1)

Exactly

There you go

You cracked it without numerical methods

I’m glad daddy checked it in Mathematica tho

now that I think about it it was dumb to try lol

Yeah that’s what’s beautiful you solve the integral without doing it at all lol

It’s zen

My mind is expanded

I would’ve gotten that sophomore year college though I’m guessing

We got malarkey like that all the time

I'd like to learn

more

Yeah this stuff gets harder as you’re less ingrained in all the tricks

but it would only be useful in times like these

Calc is the most useful math

Wrinkly brain discord

Arguably

Aside from maybe algebra

yeah

But that’s easy

algebra is even useful for the everyday man

Calculus has used

Uses for average joes

when ?

I’d you’re crafty

I was building a boat and used calculus to find the waterline on the vessel

Reminds me of one class where I solved this insanely hard integral using a -1st expansion of a maclaurin series

Double integral for volume of the hull, displacement of water therefore

It can be so beautiful when all the pieces come together

Archimedes principle

Then I knew where to put the watermark on the boat without putting it in the water

Because the specific weight of water is known

nice

It’s a paradox without calculus to solve

You can’t put it in the water without anti fouling paint

Calculus never stops giving.