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 3 hours ago Collection of Greatest Christian Hymns of all Times View the latest post Replies 34 Views 54102
- by Eli 18 hours ago Pondering Big Cosmology Questions Through Lectures and Dialogues View the latest post Replies 34 Views 55715
- by Eli 18 hours ago Russia Invades Ukraine View the latest post Replies 652 Views 220891
- by Eli 18 hours ago Re: What is in Your Mind? View the latest post Replies 693 Views 285144
- by Eli 2 days ago Programmatically Manipulate Files: Renaming, Reading, Writing, Deleting, and Moving Files Between Folders View the latest post Replies 7 Views 3271
- by Eli 1 week ago Iran Launches Retaliatory Attack Against Israel, and Israel Retaliates by Attacking Iranian Isfahan Millitary Base View the latest post Replies 28 Views 2815
- by Eli 1 week ago All in One: YouTube, TED, X, Facebook and Instagram Reels, Videos, Images and Text Posts View the latest post Replies 319 Views 19978
- by Eli 1 week ago Python Packages for Scientific Computing View the latest post Replies 8 Views 11245
- by Eli 1 week ago Dunia Yetu: Building Tanzania's Digital Future Together View the latest post Replies 5 Views 2011
- by Eli 3 weeks ago What is Retrieval-Augmented Generation (RAG)? View the latest post Replies 2 Views 1975
-
Integration by Parts
-
- Information
-
Who is online
Users browsing this forum: No registered users and 0 guests