Integration by Parts (1 of 2: Arranging the integral with DETAIL) 

You don't even need to remember the formula. The tabular method (aka DI method) works so much better, and you don't even need to think about U and V.

he has another video on it, it came from the product rule of derivatives

tabular works if the u chosen is a polynomial function ie differentiating it eventually goes to zero

He can't answer what your instructor will require. If it were up to me, I'd encourage EVERYONE to always use the tabular method.

@@16mhz98 Tabular method works in general. You simply learn the three kinds of stops that you will have, and know how to solve them. Stop 1: you reduce the differentiation column to zero. Common for polynomial functions in the differentiation column. Stop 2, the looper: You would otherwise be in an infinite loop, but you can spot the original integral in your integration column, or across a row. As you construct the output, assign the variable I to the original integral on both sides of the equation. Solve for I to get your solution. This is common for a mixture of trig and exponential functions. Stop 3: you can integrate your final row by another method, not involving integration by parts. Such as regrouping algebraic terms to something you can integrate by substitution. This is common for a mixture of logs and algebraic functions, or inverse trig and algebraic functions.

Brook Taylor invented it. He's the same Taylor who is the namesake of the Taylor Series. Learn the tabular method, also called the DI method. It is so much easier and a lot easier to keep track of your work than using the original formula.

Bruh slow it down

Play at half speed