Perusing through old pics, and I found this.
I have not been in a Calculus class in five years, and I've forgotten damn near everything I know.
I know it has something to do with integrals; can someone give me the short-and-sweet version of what the hell this is?
Integration by parts, it's a formula for (most of the time) solving integrals which are products, like x(e^x)
Very useful thing to remember desu
Look it up. The first term on the right side of the equation has to be evaluated at some boundaries, otherwise this could lead to serious logical problems.
inb4, but in physics I do it all the time (you evaluate at infinity, collegueo)
What the hell are you talking about? If you want to find the antiderivative of fg' you note that it is equal to (fg)'-f'g if f is differentiable, then since anti-differentiation is linear from anti-differentiable functions to the equivalence classes of functions modulo constants you get integration by parts for indefinite integrals.