This packet gives students a variety of quotients to integrate. Each row contains similar problems with slight changes that affect the necessary approach, so the problems are organized to help students compare and contrast problems to find patterns and rules of thumb for integrating quotients. For example: when is it necessary to use inverse trigonometry instead of simple u-substitution?
Skills / prerequisite knowledge required to complete the problems:
- Integrating using inverse trigonometric functions
- long division
- completing the square
(Note: Per the AP Calculus AB syllabus, NONE of these problems require partial fractions or integration by parts)
An answer key is included, with hints on how to begin each problem.