Integral of ln(x)/x^2, integration by parts, DI method

TL;DR

This video explains how to integrate ln x over x^2 using integration by parts.

Transcript

we are going to integrate ln x over x to the  second power and this questions we need to use   integration by parts and of course we will do it  with di setup we are going to pick something to be   differentiated and then something to be integrated  and don't forget when you have the plus minus plus   minus on the side this is the set up we have tw... Read More

Key Insights

• 🥳 Integration by parts involves choosing functions to differentiate and integrate.
• ❓ The choice of functions can impact the complexity of the integration process.
• ☺️ Integrating 1 over x^2 simplifies the overall process of integrating ln x over x^2.
• 🤨 The final answer includes both a product of a row and a separate integral.

Summary & Key Takeaways

• The video demonstrates the process of integrating ln x over x^2 using integration by parts.

• The choice of functions to be differentiated and integrated is discussed.

• The final result of the integration is provided, with the inclusion of a constant term.