The Arctangent Rational Integral

Feynman Academy course: https://feynman-academy-course.vercel.app/#/join
Chapters 1 and 2 are free. Chapter 3 and beyond start with a 7-day trial, then $10/month unless canceled.
Subscribe: https://www.youtube.com/channel/UCepKxh_j0SH2cw0nbY9FwZQ?sub_confirmation=1

Course path (Jan 18, 2026 and newer)
Lesson 27 of 32
Start here: https://youtu.be/8xq0RW1VurI
Previous lesson: https://youtu.be/XLBEQsW4Ko4
Next lesson: https://youtu.be/EOWDwCcjNDY

About this lesson:
Ever stared at an integral with an arctangent and an x in the denominator and thought it was impossible? In this video, we break down the exact step-by-step process of using Differentiation Under the Integral Sign (The Leibniz Rule) to absolutely obliterate this problem. Perfect for Calculus BC students looking to level up their integration skills.

Видео The Arctangent Rational Integral канала The Feynman Technique