The DI Method That Makes Integration by Parts Actually Easy #calculus #mathtutorial

Ajouté : 2026-05-16

[00:00:00]The DI method is actually the formula for integration by parts. Let's take a look. The actual formula for integration by parts is UV minus the integral of V dU. But when we have a function that just continues to be the same, we have to do multiple steps using this formula.

[00:00:21]So instead, we found a neat way of tracking the signs and structuring our work so that we can simply multiply and write down our final expression. But let's take a closer look at this and see why this works.

[00:00:35]Well, we start with U here. U is equal to X cubed.

[00:00:40]E to the X is dV.

[00:00:43]I stands for integrate.

[00:00:45]And D stands for differentiate.

[00:00:49]Differentiate.

[00:00:51]>> [snorts] >> So differentiate U, you get dU. And that's exactly what 3X squared is. But when we do this, you have UV minus V dU. So essentially, this is exactly the formula. The DI method isn't some magic, it's a neat way to structure your work.

[00:01:11]Best of luck to all of you taking the AP Calculus exams, and follow for more math lessons like this.