7. Trigonometric Substitution - Contents

1. Substitutions for \(x^2+1\) and \(x^2-1\)

     1   2   3
   1. Substitutions for \(x^2+1\) - Tangent Substitutions
   2. Substitutions for \(1-x^2\) (or \(x^2-1\)) - Sine Substitutions
   3. Substitutions for \(x^2-1\) (or \(1-x^2\)) - Secant Substitutions

2. Substitutions for \(a^2 x^2+b^2\) and \(a^2 x^2-b^2\)

     1   2
   1. Substitutions for \(a^2 x^2+b^2\)
   2. Substitutions for \(a^2 x^2-b^2\)

3. Completing Squares

     1
   1. Completing Squares

4. Hyperbolic Trig Substitutions (Optional)

     1
   1. Hyperbolic Trig Substitutions (Optional)

5. Exercises

     1
   1. Exercises