Where can I find the derivation of all integral formulae?

In summary, the conversation discusses the search for a website that provides derivations for a comprehensive list of integral formulae. The website mentioned is an attempt to compile proofs for all integrals listed in a specific reference book, but there are still gaps to be filled. It is noted that there may not be a consensus on what constitutes "all" integral formulae.
  • #1
swampwiz
571
83
There is usually a set of integral formulae that is listed in a calculus textbook or website (such as Wikipedia.) I'd like to see the derivation of all those formulae. Yes, I know that they use various combinations of integration by substitution and integration by parts, but I'd like to see exactly how they are derived.

Does anyone know a website where all (or at least a number of) these integral formulae are so presented?
 
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  • #2


This website is an attempt to compile proofs of all integrals listed in the Gradshteyn and Ryzhik integral tables:

http://129.81.170.14/~vhm/Table.html"

There are still lots of gaps to be filled in though!
 
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  • #3


I went through that website, and the only thing up seems to be the outline!
 
  • #4


I doubt that there is such any consensus as to what "all the integral formulae" would be! Different tables of integrals differ as to what is "fundamental", and are given, and what can be derived fairly easily from the given integrals.
 

1. What is the purpose of a website that goes through the derivation of all the integral formulae?

A website that goes through the derivation of all the integral formulae is meant to provide a comprehensive and organized resource for understanding the mathematical principles behind integration. It can serve as a useful tool for students, researchers, and professionals who want to deepen their knowledge and improve their skills in this area of mathematics.

2. How can a website help with understanding integral formulae?

A website that goes through the derivation of all the integral formulae can provide step-by-step explanations and visual aids that make it easier to understand the concepts and principles behind integration. It can also offer practice problems and interactive tools to help users test their knowledge and improve their understanding.

3. Are all the integral formulae included in such a website?

While most websites that go through the derivation of integral formulae aim to cover a wide range of topics, it is not always possible to include every single formula. Some websites may focus on the most commonly used and important formulae, while others may have a more comprehensive approach. It is important to check the website's content and scope to determine which formulae are included.

4. Can a website provide real-world examples of the use of integral formulae?

Yes, many websites that cover the derivation of integral formulae also include real-world examples and applications of these formulas. This can help users see how these mathematical concepts are applied in various fields such as physics, engineering, economics, and more. It can also make the learning experience more engaging and practical.

5. Is it necessary to have a strong mathematical background to understand integral formulae on a website?

While a basic understanding of mathematical concepts is helpful, most websites that go through the derivation of integral formulae are designed to be accessible to a wide range of users. They often include explanations and examples that are easy to follow, making it possible for individuals with different levels of mathematical knowledge to understand and learn from the website.

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