Can somebody ELI5 this for my troglodyte writer brain?
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Integrals are an expression that basically has an opening symbol, and an operation that is written at the end of it that is used also as a closing symbol, looks kinda like:$ {some function of x} dx
.
The person basically said "the dx part can be written at the start also, and that would make my so mad :3": $ dx {some function of x}
.
This gets their so mad because understandably this makes the notation non-standard and harder to read, also you'd have to use parentheses if the expression doesn't just end at the function.
Note: dollar used instead of integral symbol
An integral is usually written like ∫ f(x) dx or alternatively as df(x)/dx. Please note that this is just a way to apply the operation 'Integration', like + applies the operation 'Addition'. There is no real multiplication or division.
But sometimes you can take a shortcut and treat dx as a multiplied constant. This is technically not correct, but under the right circumstances lands you at the same solution as the proper way. This then looks like this ∫ f(y) dy/dx dx = ∫ f(y) dy
Another thing you can do is to move multiplicative constants from inside the Integral to in front of the Integral: ∫ 2f(x) dx = 2 ∫ f(x) dx. (That is always correct btw)
What anon did was combine those two things and basically write ∫ f(x) dx = dx ∫ f(x). Which is nonsensical, but given the above rules not easily disproven.
This is more or less the same tactic used by internet trolls just in a mathy way. Purposefully misinterpreting arguments and information, that cost the other party considerably more energy to discover and rebut. Hence the hate fuck.
Hum... I don't think the integral "operator" applies by multiplication.
You can put the dx at the beginning of the integral, but not before it.
Physicists be like: whitness me
Nobody on your link is treating the integral "operator" as multiplicative.
dx \int f(x)
is blatantly different from \int f(x) dx
Physicist behavior