Long Division and Completing the Square for Integration
When to use long division
Long division procedure
Example 1 — Simple long division
Example 2 — Cubic over linear
Example 3 — Equal degrees
When to complete the square
Completing the square review
Example 4 — Arctan pattern
Example 5 — Arcsin pattern
Pattern recognition guide
Decision flowchart
Combined example
Definite integral application
AP exam tips
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Vocabulary
Unit 6 topics
Unit 6 overview16.1 Exploring Accumulations of Change26.2 Approximating Areas with Riemann Sums36.3 Riemann Sums, Summation Notation, and Definite Integral Notation46.4 The Fundamental Theorem of Calculus and Accumulation Functions56.5 Interpreting the Behavior of Accumulation Functions66.6 Applying Properties of Definite Integrals76.7 The Fundamental Theorem of Calculus and Definite Integrals86.8 Finding Antiderivatives and Indefinite Integrals96.9 Common Indefinite Integrals and Basic Rules106.10 Integrating Using Substitution116.11 Integrating Using Long Division and Completing the Square