

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.
As long as the employer has any say in, when the PTO is taken, they have a responsibility Period
In my country you have to inform your employee, when their vacation days are about to expire and make measurable efforts to find a vaccination schedule that works for both of you. Or else they don’t expire.
Or you know, you could talk to your employees and work out a schedule over the year, that works for both of you. If you, as a business, are unable to do basic management tasks, then yes you run into the situation, where you are functionally unable to do business at the end of the year.