Trig Substitution Practice Problems
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Trig Substitution Practice Problems
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Trig Substitution Your New Best Friend In Calculus
Simplify the expressions in exercises 1 5 by writing each one using a single trigonometric function 1 4 4sin2 2 9sec2 9 Answer 3 a2 a2tan2 4 a2 a2sinh2 Answer 5 16cosh2 16 Use the technique of completing the square to express each trinomial in exercises 6 8 as the square of a binomial making the appropriate trigonometric substitution. Know how to evaluate integrals that involve quadratic expressions by rst completing the square and then making the appropriate substitution. PRACTICE PROBLEMS: For problems 1-12, evaluate the given integral. Notice that it may not be nec-essary to use a trigonometric substitution for all
Trig Substitution Example 2 YouTube
Trig Substitution Practice ProblemsMATH 142 - Trigonometric Substitution Joe Foster Hints to Practice Problems 1. x = 3sec(θ) 2. x = 3sin(θ) 3. x = 3tan(θ) 4. x = 4sin(θ) 5. x = sec(θ) 6. x = sec(θ) 7. x = 5sin(θ) 8. x = 10tan(θ) 9. x = 4tan(θ) 10. x = √ 2tan(θ) 11. 2x = sin(θ) 12. u-sub. 13. x = 3sec(θ) 14. x = √ 5sin(θ) 15. 3x = sec(θ) 16. u-sub. 17. x = tan Introduction to trigonometric substitution Substitution with x sin theta More trig sub practice Trig and u substitution together part 1 Trig and u substitution together part 2 Trig substitution with tangent More trig substitution with tangent Long trig sub problem Trigonometric substitution
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