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Concept · from MIT 18.01SC Single Variable Calculus

Trig Substitution

About these materials

MIT's own material for this topic, in MIT's order: Session 72: Trig Substitution.

Source: MIT OpenCourseWare 18.01SC Single Variable Calculus, Fall 2010, Prof. David Jerison — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Order: the items appear in the order MIT's own session page lists them. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

MIT's session, in MIT's order

MIT 18.01SC · 4. Techniques of Integration · Part A: Trigonometric Powers, Trigonometric Substitution and Com · This session on MIT OpenCourseWare ↗

Lecture Video and Notes · Video Excerpts

  1. Clip 1: Example of Trig SubstitutionLecture clip · 15:32–28:29 · 12:57 long · transcript Watch Notes (PDF) ↗
  2. Clip 2: Undoing Trig SubstitutionLecture clip · 28:29–33:00 · 4:31 long · transcript Watch Notes (PDF) ↗
  3. Clip 3: Summary of Trig SubstitutionLecture clip · 33:00–37:37 · 4:37 long · transcript Watch Notes (PDF) ↗

Worked Example

Recitation Video

  1. Hyperbolic Trig SubstitutionProblem-solving video · transcript Watch

MIT's problem set

Problem Set 9

MIT places Problem Set 9 at the end of Part A: Trigonometric Powers, Trigonometric Substitution and Com; it covers the whole part, not only this topic. Problem Set 9 on MIT OpenCourseWare ↗

Where this sits in MIT 18.01SC

Open this session in the full course 18.01SC Single Variable Calculus: all units →

MIT OpenCourseWare, Prof. David Jerison, 18.01SC Single Variable Calculus, Fall 2010.

License: CC BY-NC-SA 4.0 · Edition: Fall 2010 · Open the original course on OCW ↗

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