In practice we have to choose u such that its derivative u’ is simpler, v’ such that its antiderivative v is simpler, and we want the multiplication of u’ and v easier to integrate than the multiplication of u and v’.

This is the last integration technique we cover for a reason. But not to worry, there is a rule of thumb for choosing u, called ‘LIATE’ (simply choose u in that order), it stands for:

- Logarithmic functions
- Inverse trig functions
- Algebraic expressions
- Trig functions
- Exponential functions

Before we continue you might want to review common derivatives and common integrals.

Let’s start with some basic examples, this is one of the more intuitive examples. If one of the multipliers is x, knowing the derivative of x is 1, simply choose u to be x (click here):

Here’s an example with logarithms (click here):

Here’s another example with algebraic expression and exponent (click here)

Here’s a tricky example choosing v’ to be 1 (click here):

In the next post we’ll cover some more advanced examples.

Cheers,

Michal

Thak you so much, I've better undestanding of this topic..!!

ReplyDeleteThanks :)

DeleteThanks, my friend. It's a good post about integration by parts. I really like it.

ReplyDeleteBut if you provide various application of it. Then it'll a great post.

Asking yourself how to write an argumentative essay properly, eh? No need to worry! You can get an argumentative essay guidance just by following my link!

ReplyDeleteNope, not asking myself that. Stop with unrelated links!

DeleteI am more than sure that this website will provide you, people, with a lot of good articles on education!

ReplyDeleteNow that is a good topic to discuss! But first of all, see this wikipedia reference on this issue!

ReplyDeleteAustralia proofreading services are given by students assignment help.com in Australia. You can hire experts from here for taking help in your assignments and achieve your goal at a very low price.

ReplyDeleteWe are distinguished by providing the best transportation methods for packing all kinds of furniture of all kinds. We also have Asian, Filipinoشركة نقل عفش

ReplyDeleteشركة نقل عفش من الرياض الى الامارات

شركة نقل اثاث من الرياض الى الامارات

شركة نقل عفش بخميس مشيط

Such a great blog is very difficult to get. I am very happy to join this Blog in today slipcovers neos overshoes canada

ReplyDelete