Studying Mathematics Thread

[polymath257]

General relativity, eh? I'll eventually catch up to what you're saying, but for now, I'm personally going to address a confusion some have with the concept of the constant of integration C. In the derivation of the formula for integration by parts, C just isn't there anywhere in the final formula. Where did it magically disappear?

Lo and behold, here's my derivation of the formula that puts this in perspective.

https://pasteboard.co/HiCvx8S.png

Fucking math nerds, the bunch here.

It 'disappears' into the new integral.

So,

int u dv

is only determined up to a constant.

Same for uv-int v du.