Trig Substitution - How to Solve

Trig Substitution - How to Solve

Krista King via YouTube Direct link

// What is trig substitution?

1 of 16

1 of 16

// What is trig substitution?

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Trig Substitution - How to Solve

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  1. 1 // What is trig substitution?
  2. 2 // When to use trig substitution?
  3. 3 // What kinds of integrals use trig substitution?
  4. 4 // What to do when there’s no square root?
  5. 5 // What to do when you don’t have perfect squares?
  6. 6 // What do trig substitution integrals usually look like? Which trig substitution to use? (Examples of sin substitutions, tan substitutions, and sec substitutions)
  7. 7 // Why trig substitution works?
  8. 8 // How to set up for a trig substitution problem?
  9. 9 // How to solve trig substitution? How to do sine substitution?
  10. 10 // Step 1. Identify that it’s a trig sub problem
  11. 11 // Step 2. Decide which trig substitution to use
  12. 12 // Step 3. Do the setup process for trig sub
  13. 13 // Step 4. Make substitutions into the integral
  14. 14 // Step 5. Simplify the integral using whatever methods you need to, then integrate
  15. 15 // Step 6. Back-substitute to put the integrated value back in terms of x, instead of theta.
  16. 16 // How to build your reference triangle

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