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Video 10 - Hyperbolic Functions, L'Hopital's Rule.
- Hyperbolic Functions.
The hyperbolic trigonometric functions are defined, their basic identities are reviewed as well as their derivatives. Examples of differentiation involving hyperbolic functions are worked.
- L'Hopital's rule.
L'Hopital's rule for computation of limits of indeterminate form is reviewed and examples of limit problems requiring L'Hopital's rule are worked.
- Trigonometric Integrals.
Techniques and reduction formulas for integrating products of trigonometric functions are reviewed. Examples are worked illustrating the various cases.
- Trigonometric Substitutions.
Techniques of using trigonometric substitution to simplify integrands are reviewed and examples are worked showing how to integrate functions containing quadratic expressions by trigonometric substitution.
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