Learn Calculus 2 - Free Course with Videos and Notes

Master integration techniques, applications of integration, differential equations, parametric and polar equations, and infinite sequences and series through structured video lessons, guided notes, and example problems.

This series follows the textbook Calculus: Early Transcendentals by James Stewart and covers Chapters 7-11.

New lessons are added regularly as the course continues to grow.

Calculus 2 Video Lessons with Guided Notes

  • Watch the video lessons for each section.

  • Download the guided notes PDF to follow along as you watch.

  • Engage actively by completing the notes during the lesson.

  • Review your completed notes as a study resource for exams.

Chapter 7 - Techniques of Integration

  • Learn how to evaluate integrals using integration by parts by deriving the formula from the product rule, choosing uuu and dvdvdv with the ILATE rule, and working through six fully explained examples. You'll also learn the tabular integration method for solving repeated integration by parts more efficiently.

    ▶️ Video‍ 📝 Notes

Copyright & Usage

© Understand The Math LLC. All Rights Reserved. These materials are freely provided for non-commercial educational use. Redistribution is permitted with proper attribution to UnderstandTheMath.com.

About Dr. Cheryl Hile

Understand The Math was created by Dr. Cheryl Hile, who earned a Ph.D. in Engineering Science and Applied Mathematics from Northwestern University. She has more than 25 years of experience teaching mathematics at the university level, including 20 years at Penn State. The lessons and guided notes on this site are based on materials she developed for her university courses.