Trig Substitution Integrals Cheat Sheet (+ Example with Solution)

Is trig sub hard? Not if you watch this video! This trig substitution cheat sheet leads you through the logic behind how trig sub works and gives you the shortcuts for the most relevant trig identities you need to attack these types of integrals.

If you're looking for how to solve trig substitution problems, we discuss how to do trig subs with full steps.

Whether you're doing calc 2 trig substitutions in college or AP Calculus BC trigonometric substitutions in high school — this cheat sheet has got you covered. It's literally trig substitution made easy!

The example that we walk through uses a trig sub with sine. The resulting trig integral in the middle of the problem requires a basic u-substitution after applying a Pythagorean identity.

Video contents:
00:00 - Trig Sub Shortcuts
02:16 - Trig Sub Steps
02:30 - Trigonometric Substitution Example with Solution
03:00 - Reason for Trig Subs
04:05 - Making the Trig Substitution
06:28 - Doing the Resulting Trig Integral
08:28 - How to Draw a Trig Sub Triangle
09:50 - Summary of Trigonometric Substitution

#calculus #calculus2 #educationalvideo

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[saragomez]

Thank you! Learned more in ten minutes here than in my entire lecture in class. This was really helpful.