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