โ๐ผ
https://integralsforyou.com - Integral of 1/(x*ln(x)) - How to integrate it step by step using integration by substitution!
โ
๐๐๐ซ๐ข๐ฏ๐๐ญ๐ ๐ญ๐จ ๐๐ก๐๐๐ค ๐ญ๐ก๐ ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง
Derivative of ln(ln(x)) =
https://youtu.be/HIAsxDFk0QI๐ ๐๐ซ๐ ๐ฒ๐จ๐ฎ ๐ฅ๐จ๐จ๐ค๐ข๐ง๐ ๐๐จ๐ซ ๐ ๐ฉ๐๐ซ๐ญ๐ข๐๐ฎ๐ฅ๐๐ซ ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ? ๐
๐ข๐ง๐ ๐ข๐ญ ๐ฐ๐ข๐ญ๐ก ๐ญ๐ก๐ ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ ๐ฌ๐๐๐ซ๐๐ก๐๐ซ:
โบ Integral searcher ๐
https://integralsforyou.com/integral-searcher๐ ๐๐๐ฏ๐ ๐ฒ๐จ๐ฎ ๐ฃ๐ฎ๐ฌ๐ญ ๐ฅ๐๐๐ซ๐ง๐๐ ๐๐ง ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ญ๐ข๐จ๐ง ๐ฆ๐๐ญ๐ก๐จ๐? ๐
๐ข๐ง๐ ๐๐๐ฌ๐ฒ, ๐ฆ๐๐๐ข๐ฎ๐ฆ ๐๐ง๐ ๐ก๐ข๐ ๐ก ๐ฅ๐๐ฏ๐๐ฅ ๐๐ฑ๐๐ฆ๐ฉ๐ฅ๐๐ฌ ๐ก๐๐ซ๐:
โบ Integration by parts ๐
https://integralsforyou.com/integration-methods/integration-by-partsโบ Integration by substitution ๐
https://integralsforyou.com/integration-methods/integration-by-substitutionโบ Integration by trig substitution ๐
https://integralsforyou.com/integration-methods/integration-by-trig-substitutionโบ Integration by Weierstrass substitution ๐
https://integralsforyou.com/integration-methods/integration-by-weierstrass-substitutionโบ Integration by partial fraction decomposition ๐
https://integralsforyou.com/integration-methods/integration-by-partial-fraction-decomposition๐ ๐
๐จ๐ฅ๐ฅ๐จ๐ฐ @๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ๐ฌ๐๐จ๐ซ๐ฒ๐จ๐ฎ ๐๐จ๐ซ ๐ ๐๐๐ข๐ฅ๐ฒ ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ! ๐
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About the Site ๐
This site provides links to random videos hosted at YouTube, with the emphasis on random. ๐ฅ
Origins of the Idea ๐ฑ
The original idea for this site stemmed from the need to benchmark the popularity of a video against the general population of YouTube videos. ๐ง
Challenges Faced ๐ค
Obtaining a large sample of videos was crucial for accurate ranking, but YouTube lacks a direct method to gather random video IDs.
Even searching for random strings on YouTube doesn't yield truly random results, complicating the process further. ๐
Creating Truly Random Links ๐ ๏ธ
The YouTube API offers additional functions enabling the discovery of more random videos. Through inventive techniques and a touch of space-time manipulation, we've achieved a process yielding nearly 100% random links to YouTube videos.
About YouTube ๐บ
YouTube, an American video-sharing website based in San Bruno, California, offers a diverse range of user-generated and corporate media content. ๐
Content and Users ๐ต
Users can upload, view, rate, share, and comment on videos, with content spanning video clips, music videos, live streams, and more.
While most content is uploaded by individuals, media corporations like CBS and the BBC also contribute. Unregistered users can watch videos, while registered users enjoy additional privileges such as uploading unlimited videos and adding comments.
Monetization and Impact ๐ค
YouTube and creators earn revenue through Google AdSense, with most videos free to view. Premium channels and subscription services like YouTube Music and YouTube Premium offer ad-free streaming.
As of February 2017, over 400 hours of content were uploaded to YouTube every minute, with the site ranking as the second-most popular globally. By May 2019, this figure exceeded 500 hours per minute. ๐
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