Integration by Parts is a method of integration, often useful when an integrand can be expressed as a multiplication of two functions.
The method uses the formula
, where are the two functions.
Example
Evaluate the following integral
Solution
We apply the formula , where
From , we have . To find out why this is true:
,
Differentiating both sides,
(you can make subject and then take derivative)
.
Now,
, where is constant.
Simplifying, we get
.
Any question/comment?
-
- Active Topics
-
-
- by Eli 5 hours ago Iran Launches Retaliatory Attack Against Israel View the latest post Replies 20 Views 497
- by Eli 6 hours ago Re: What is in Your Mind? View the latest post Replies 677 Views 273342
- by Eli 13 hours ago Russia Invades Ukraine View the latest post Replies 646 Views 210063
- by Eli 1 day ago Programmatically Move Files from One Folder to Another View the latest post Replies 6 Views 1310
- by Forbidden_Technology 2 days ago All in One: YouTube, TED, X, Facebook and Instagram Reels, Videos, Images and Text Posts View the latest post Replies 312 Views 8393
- by Eli 1 week ago Collection of Greatest Christian Hymns of all Times View the latest post Replies 33 Views 43458
- by Eli 1 week ago What is Retrieval-Augmented Generation (RAG)? View the latest post Replies 2 Views 244
- by Eli 1 week ago Chat With ChatGPT - An Interactive Conversational AI View the latest post Replies 22 Views 24126
- by Eli 2 weeks ago Christian Podcasts View the latest post Replies 5 Views 28616
- by Eli 2 weeks ago Pondering Big Cosmology Questions Through Lectures and Dialogues View the latest post Replies 33 Views 45369
-
Integration by Parts
-
- Information
-
Who is online
Users browsing this forum: No registered users and 0 guests